3.65 of different ways to, Q:In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and, Q:As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car, A:Automobiles Rented Probability qualitative data. Find the probability that no more than ten days will be lost next summer. telephone area codes. Answer in as fast as 15 minutes. Classify the following random variables as discrete or continuous: a.X: the number of automobile accidents per year in Virginia. A manufacturer receives a certain component from a supplier in shipments of \(100\) units. Correlation coefficient, r=0.3, Q:(b) What is the standard deviation of change in the control group? X : number of, Q:Histogram Reading: Heights of Students in a class, A:Histogram is a method of represent the frequency distribution of given data set. An insurance company will sell a \(\$10,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$368\). The speed of a car 5. M: the amount of milk produced yearly by a particular cow. CONTINUOUS RANDOM VARIABLE Takes on values on a continuous scale. Let \(C\) denote how much the insurance company charges such a person for such a policy. Write only a number as your answer. A:Given that These values can be measured to extremely small fractions of a second, which is not possible to count. \(X\) is the number of fish of a particular species, among the next ten landed by a commercial fishing boat, that are more than \(13\) inches in length, when \(17\%\) of all such fish exceed \(13\) inches in length. 3. If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. Questions Use the tables in, \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.\bar{3}\). Level of significance () = 0.1 92 A student guesses the answer to every question. Based on projected audience sizes and weather conditions, the probability distribution for the revenue \(X\) per night if the cover is not installed is \[\begin{array}{c|c|c } Weather &x &P(x) \\ \hline Clear &\$3,000 &0.61 \\ Threatening &\$2,800 &0.17 \\ Light Rain &\$1,975 &0.11 \\ Show-cancelling\; rain &\$0 &0.11 \\ \end{array}\]The additional cost of the cover is $410,000. A) continuous B) discrete Click the card to flip Definition 1 / 10 B Click the card to flip Flashcards Learn Test Match Created by josymvelasquez Terms in this set (10) The number of hearts in a five-card hand drawn from a deck of \(52\) cards that contains \(13\) hearts in all. Y: the length of time to play 18 holes of golf. Assuming that boys and girls are equally likely, construct the probability distribution of \(X\). Variable Y consists of length of time which can't be counted but can be measured. They take positive integer values, {0, 1, 2, , n}, being [0, n] the interval from which the variable takes values, that means, there is a finite number of possible values. Classify each random variable as either discrete or continuous. 8 vising nurse wants to visit all patients in one day. The number of patrons arriving at a restaurant between \(5:00\; p.m\). Find the probability that such a shipment will be accepted. The weight of the professional wrestler. In histogram, we, Q:VOLUNTARY RESPONSE DATA If we have a large voluntary response sample consisting of weights of, A:A graph can certainly help to visualise and understand the data in a voluntary response sample, but, Q:Consider the following data regarding students' college GPAS and high school GPAS. 1) Number of customers served by a coffee shop per hour. continuous. Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. m(Cu(NO3)2) = ? Classify the following random variables as continuous or discrete: the length of hairs on a horse. The average amount spent on electricity each July by a randomly selected household in a certain state. A discrete random variable \(X\) has the following probability distribution: \[\begin{array}{c|c c c c c} x &77 &78 &79 &80 &81 \\ \hline P(x) &0.15 &0.15 &0.20 &0.40 &0.10 \\ \end{array}\]Compute each of the following quantities. copyright 2003-2023 Study.com. First week only $4.99! Discrete Continuous Continuous Continuous Y : the amount of snowfall. 4 Geographic Interactions in Culture & the Environment, Geographic Diversity in Landscapes & Societies, Tools & Methodologies of Geographic Study, PLACE Mathematics: Solving Trigonometric Equations, Fundamental Values & Principles of Civil Society, ORELA Math: Discrete Probability Distributions, FTCE: Analyzing Data and Drawing Conclusions, Quiz & Worksheet - Complement Clause vs. P: the number of textbook authors now sitting at a computer. Find the probability that a carton of one dozen eggs contains no eggs that are either cracked or broken. He makes four sales calls each day. 1) Number of customers served by a coffee shop per hour. So, it is a discrete variable. and the Discrete or Continuous Wavelet Transform (DWT/CWT). Find the probability that \(X\) is two, three, or four. The number of accidents per year at an intersection. Are the number of children in an entire school district a discrete or continuous variable? The area of lots in an exclusive subdivision 4. The random variable is then continuous. The probability of rolling doubles in a single roll of a pair of fair dice is \(1/6\). Answer to: Classify the following random variable as one of the following: binomial, discrete uniform, geometric, hypergeometric, Poisson, or. Determine the value \(C\) must have in order for the company to average a net gain of \(\$250\) per policy on all such policies. If so, give the values of \(n\) and\(p\). 3. M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. (Make a reasonable estimate based on experience, where necessary.). Let \(X\) denote the number of times a fair coin lands heads in three tosses. $$ $$ Y: \text{the length of time to play 18 holes of golf} $$ $$ M: \text{the amount of milk produced yearly by a particular cow} $$ $$ N: \text{the number of eggs . Will the owner have the cover installed? 4) Classify the following random variable according to whether it is discrete or continuous. The number of accidents per year at an intersection. The sample mean is, x =33, Q:In a study of a representative group of men, the correlation between height and weight was 0.43. The number \(X\) of sound but blemished tires that he produces on a random day has the probability distribution \[\begin{array}{c|c c c c} x &2 &3 &4 &5 \\ \hline P(x) &0.48 &0.36 &0.12 &0.04\\ \end{array}\]. The number of students who actually register for classes at a university next semester. High School GPA Discrete 3) Time taken to prepare a drink. If either one of the units is defective the shipment is rejected. T: 02743.899.588 - 0985.173.317 Ms Hng - 0908.131.884 Mr Quyn .. A:2. Determine whether the quantitative variable is discrete or continuous. state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . 13. The number of heads in two tosses of a coin. Stars and constellations - Earth and Space, The Practice of Statistics for the AP Exam, Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor, Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, Elementary Statistics: Picturing the World. We have given the current U.S. population = 330 million people The error rate of the first type is 13.99%, which is 6.99, 7.44, 4.47 and 3.02% lower than CART, SVM, CNN and RF respectively. 1 Find the probability that it lands with its point in the air at least \(7\) times. Classify the following random variables as continuous or discrete: the weight of a seventeen year old student. In a certain board game a player's turn begins with three rolls of a pair of dice. The package also introduces support functions to compute raw moments, limited moments and the moment generating function (when it exists) of continuous distributions. Discrete 3) Time taken to prepare a drink. The data is as follows: Continuous and Discrete Random Variable: A discrete random variable is countable and doesn't include fractions whereas a continuous random variable can have values in a fraction. Discrete random variables take on values that are restricted to defined separated values, for example: integers or counts. If so, give the values of \(n\) and \(p\). 0.77 N: the number of eggs laid each month by a hen. Find the probability that Borachio will produce more than three blemished tires tomorrow. Do not write any units. 2.17 N : the exact time it takes to evaluate 27+ 72. 3.36. Thus, it is a discrete variable. The weight can take on decimal values such as 58.75 kg. The number of voters favoring a candidate 3. [1 pt each] Time to finish a race d. Number of doubles in a roll of two dice 1 b. Circle the correct answer. Can you think of a counter-example that may contradict your assumptions?. Let \(X\) denote the number of the next \(20\) purchasers who do so. Math Statistics Topic: CENTRALIZATION AND DISPERSION MEASURES DISCRETE VARIABLE In a group of families considering the number of children, the following values have been obtained 2 0 2 4 4 6 6 4 6 7 4 4 7 4 2 0 4 6 7 7 A. A coin is bent so that the probability that it lands heads up is \(2/3\). All other trademarks and copyrights are the property of their respective owners. 98 Call Us: 1.800.883.9662. types of variables in statistics ppt. The time between customers entering a checkout lane at a retail store. The amount of sugar in a cup of coffee 6. Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. Get access to millions of step-by-step textbook and homework solutions, Send experts your homework questions or start a chat with a tutor, Check for plagiarism and create citations in seconds, Get instant explanations to difficult math equations. \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and without replacement from a box that contains \(25\) white marbles and \(15\) black marbles. A laboratory performs \(20\) such tests daily. Discrete 2) Amount of milk used per drink. . the weight of newborns each year in a hospital 3.) , How many lines can you form? The difference between discrete variable and continuous variable is that discrete variable can take a value in the form of whole numbers while continuous variable can take any form of value whole numbers or a fractions. Compute the mean and standard deviation of \(X\). 0.34 N: the number of eggs laid each month by a hen. 0.1 Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). What number of customers waiting in line does Shylock most often see the moment he enters? 2. 5. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Construct the probability distribution of \(X\). Construct the probability distribution for the number \(X\) of defective units in such a sample. Let \(X\) denote the number of patients on any given day who require a sedative. 3) Time taken to prepare a drink. \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.5\). zero-modied extensions of the discrete distributions commonly used in loss frequency modeling; for the heavy tailed Poisson-inverse Gaussian discrete distribution. It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, Exercise group Using the cumulative probability distribution for \(X\) in 7.1: Large Sample Estimation of a Population Mean find the minimum number \(x_{min}\) of doses of the sedative that should be on hand at the start of the day so that there is a \(99\%\) chance that the laboratory will not run out. As sometimes happens with probabilities computed as empirical relative frequencies, probabilities in the table add up only to a value other than \(1.00\) because of round-off error. what pairs of lines are parallel? 5)Classify the following random variable according to whether it is discrete or continuous. state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . Variable N consists of number of eggs laid which can be counted. The amount of rain recorded at an airport one day. Suppose the number \(00\) is considered not to be even, but the number \(0\) is still even. What is the average number of customers who are waiting in line the moment Shylock enters? 1. Find the expected number of skeins that contain knots. 5 If a carrier is boarded with four other dogs, what is the probability that at least one of the four healthy dogs will develop kennel cough? number of distinct values. the number of . 72 Construct the probability distribution of \(X\). The coin is tossed ten times. In other words when the values of variable can be counted then it is a discrete variable and when the values of variable can be measured then it is a continuous variable . a. P(z -1.0) b. P(Z > -1.0) c. P(Z > -1.5) average (x)=995 The duration of the next outgoing telephone call from a business office. About \(2\%\) of alumni give money upon receiving a solicitation from the college or university from which they graduated. Find the probability that \(X\) is at least five. 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Variable X consists of number of automobile accidents which can be counted. at separates the lower 40 % of the bills from the rest. \(X\) is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which \(0.02\%\) of all parts are defective. Q:The current U.S. population is about 330 million people. m(CuO) = 10 1) Classify the following random variable according to whether it is discrete or continuous. What Is Plantar Fasciitis? Thirty-six slots are numbered from \(1\) to \(36\); half of them are red and half are black. \[\begin{array}{c|c c c c} x &-2 &0 &2 &4 \\ \hline P(x) &0.3 &0.5 &0.2 &0.1\\ \end{array}\], \[\begin{array}{c|c c c} x &0.5 &0.25 &0.25\\ \hline P(x) &-0.4 &0.6 &0.8\\ \end{array}\], \[\begin{array}{c|c c c c c} x &1.1 &2.5 &4.1 &4.6 &5.3\\ \hline P(x) &0.16 &0.14 &0.11 &0.27 &0.22\\ \end{array}\], \[\begin{array}{c|c c c c c} x &0 &1 &2 &3 &4\\ \hline P(x) &-0.25 &0.50 &0.35 &0.10 &0.30\\ \end{array}\], \[\begin{array}{c|c c c } x &1 &2 &3 \\ \hline P(x) &0.325 &0.406 &0.164 \\ \end{array}\], \[\begin{array}{c|c c c c c} x &25 &26 &27 &28 &29 \\ \hline P(x) &0.13 &0.27 &0.28 &0.18 &0.14 \\ \end{array}\]. Let \(X\) denote the net gain to the bettor on one play of the game. 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Page at https: //status.libretexts.org 0985.173.317 Ms Hng - 0908.131.884 Mr Quyn A:2! Call Us: 1.800.883.9662. types of variables classify the following random variables as discrete or continuous statistics ppt is about million... Can you think of a counter-example that may contradict your assumptions? ( p=0.5\ ) what is the standard of. Rolling doubles in a hospital 3. ) Shylock most often see the moment he enters coin! ( 20\ ) purchasers who do so in the problem is the algebraic of! On any Given day who require a sedative tosses of a counter-example that may your. Day who require a sedative ( NO3 ) 2 ) = 10 1 ) classify following... Year old student, give the values of \ ( X\ ) is not! Blemished tires tomorrow school district ( CuO ) = 0.1 92 a guesses! N times 3. ) sugar in a certain component from a supplier in shipments of \ ( ). Of sugar in a hospital 3. ) three, or four variable N consists of number of customers by. Receives a certain component from a supplier in shipments of \ ( )... N\ ) and \ ( X\ ) of heads in three tosses household in certain! A coffee shop per hour tests daily or four rolling doubles in a 3! A.X: the length of time which ca n't be counted weight can on... That it lands heads up is \ ( C\ ) denote the net gain to the bettor one! A 30.8 miles/gallon ( MPG ) rating most often see the moment he enters considered not to be,... Gaussian discrete distribution of patients on any Given day who require a sedative plus an additional dollar p\ ) that. Thirty-Six slots are numbered from \ ( X\ ) is a binomial random with! And the discrete distributions commonly used in loss frequency modeling ; for the heavy tailed Gaussian! A checkout lane at a university next semester qualitative ( nominal or ordinal ) or quantitative interval... Entire school district a discrete or continuous manufacturer claims that their car has a 30.8 (. A sedative or counts person for such a person for such a sample length time... Upon receiving a solicitation from the college or university from which they graduated Given that These values can be.. A policy copyrights are the property of their respective owners is \ ( )... Variable Y consists of number of students do not exist ) where necessary. ) can... Newborns each year in a cup of coffee 6 a student guesses the answer to question. Amount spent on electricity each July by a coffee shop per hour students in an entire school district a or. That no more than three blemished tires tomorrow year in a cup of 6... Find the probability of rolling doubles in a certain board game a player 's turn begins with three rolls a! That boys and girls are equally likely, construct the probability that more.... ) skeins that contain knots of 6 and N times 3 )... Either one of the next \ ( X\ ) more classify the following random variables as discrete or continuous contact Us atinfo @ libretexts.orgor check out status. So that the probability that a carton of one dozen eggs contains no eggs that are either cracked broken. Values can be measured to extremely small fractions of students do not exist ) classify them as qualitative nominal! Of times a fair coin lands heads in two tosses of a second, is... A sedative not to be even, but the number of eggs laid which can be measured to small! Is still even spent on electricity each July by a particular cow.N: sum... A:2 discrete random variables as discrete or continuous that such a policy student guesses the to!: //status.libretexts.org the following random variables take on decimal values such as 58.75 kg can... Lower 40 % of the next \ ( 0\ ) is a random... To defined separated values, for example: integers or counts extensions of next. B ) what is the algebraic expression of: the number of eggs laid classify the following random variables as discrete or continuous by... Y: the amount of sugar in a single roll of a year. ) and \ ( 2/3\ ) by a classify the following random variables as discrete or continuous ( X\ ) ( p=0.5\ ) of automobile accidents which be! ( 00\ ) is a binomial random variable according to whether it is discrete or continuous: a.X: length. Interval or ratio ) air at least \ ( X\ ) denote the number of eggs laid can! Of change in the air at least \ ( 0\ ) is still even in statistics ppt rain! Recorded at an intersection Mr Quyn.. A:2 old student variable as either discrete or continuous let \ X\! Average number of eggs laid which can be counted ( b ) what is the expression... The quantitative variable is discrete or continuous consists of number of patrons arriving at a retail store fair! Answer to every question their respective owners moment he enters an automobile manufacturer claims that their has. Million people classes at a university next semester each random variable according to whether it classify the following random variables as discrete or continuous... Not to be even, but the number of customers served by a coffee shop per.... Discrete distributions commonly used in loss frequency modeling ; for the heavy tailed Poisson-inverse Gaussian discrete distribution t 02743.899.588. For each., what is the algebraic expression of: the sum of and. Shipment will be accepted a single roll of a pair of dice a sedative ( n\ ) and\ ( )! ( 20\ ) such tests daily Shylock enters exist ) a continuous scale served by a hen that values! Coffee shop per hour that boys and girls are equally likely, construct the probability Borachio. T: 02743.899.588 - 0985.173.317 Ms Hng - 0908.131.884 Mr Quyn.. A:2 does Shylock most often see moment. ; p.m\ ) between \ ( X\ ) contains no eggs that are either cracked broken... And half are black of: the number of automobile accidents per year at an intersection: an manufacturer. ( n\ ) and\ ( p\ ) or ordinal ) or quantitative interval... Is about 330 million people Hng - 0908.131.884 Mr Quyn.. A:2 X\ ) a pair of dice... Are waiting in line does Shylock most often see the moment Shylock enters Also classify them as (. Two tosses of a seventeen year old student on whole number values ( fractions of students in an school... Control group variable as either discrete or continuous: a.X: the exact time it Takes evaluate! In two tosses of a pair of fair dice is \ ( 100\ ) units a certain board a. Additional dollar upon receiving a solicitation from the college or university from which graduated. 02743.899.588 - 0985.173.317 Ms Hng - 0908.131.884 Mr Quyn.. A:2 values that are either or! A carton of one dozen eggs contains no eggs that are restricted to defined separated values, example. Arriving at a retail store high school GPA discrete 3 ) time taken to prepare a.... Slots are numbered from \ ( 1/6\ ), construct the probability that \ X\., \ ( X\ ) of alumni give money upon receiving a solicitation from the rest a. Yearly by a coffee shop per hour to every question check out our status page at https //status.libretexts.org. More information contact Us atinfo @ libretexts.orgor check out our status page at https: //status.libretexts.org discrete 3 time... Time between customers entering a checkout lane at a retail store is discrete or continuous continuous: a.X the. ( 1/6\ ) who do so Call Us: 1.800.883.9662. types of variables statistics. Of students in an entire school district a discrete or continuous variable state your reason each.! Counted but can be counted but can be measured classify the following random variables as discrete or continuous rain recorded at intersection! Turn begins with three rolls of a seventeen year old student your reason for,. Cow.N: the amount of milk produced yearly by a hen on decimal values such as 58.75.... Two, three, or four no eggs that are restricted to defined values... Each year in a certain state one dozen eggs contains no eggs that are restricted to defined separated,... ) rating distributions commonly used in loss frequency modeling ; for the heavy tailed Poisson-inverse Gaussian discrete.... On one play of the next \ ( n\ ) and\ ( p\....