classify the following random variables as discrete or continuous

She has a bachelor's in mathematics, a minor in statistics, and a master's in education from Truman State University. The number of coins that match when three coins are tossed at once. The number of dropouts in a school per district Advertisement Loved by our community 491 people found it helpful Write only a number as your answer. The number of hearts in a five-card hand drawn from a deck of $52$ cards that contains $13$ hearts in all. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. The number of vehicles owned by a randomly selected household. Using variable concepts, it is found that: Hence, in this problem, considering the variables that can and cannot assume decimal values, we have that: More can be learned about discrete and continuous variables at brainly.com/question/16978770. Find answers to questions asked by students like you. Do not write any units. 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. \[\begin{array}{c|c c c } x &100 &101 &102 \\ \hline P(x) &0.01 &0.96 &0.03 \\ \end{array}\], Three fair dice are rolled at once. Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). Find the probability that $X$ is at least five. Provide an appropriate response. To, Q:The miles-per-gallon obtained by the 2019 model Q cars is normally distributed with a mean (mew) of, A:The question is about normal distribution 3.99 1. what pairs of lines are parallel? Mac n cheese If so, give the values of $n$ and $p$. A laboratory performs $20$ such tests daily. What assumptions can you make out of this activity? Find the expected value to the company of a single policy if a person in this risk group has a $99.62\%$ chance of surviving one year. Legal. Let $C$ denote how much the insurance company charges such a person for such a policy. The number of phone calls received at a police station on a day b. Abstract. An insurance company estimates that the probability that an individual in a particular risk group will survive one year is $0.9825$. Discrete vs Continuous variables: Steps Step 1: Figure out how long it would take you to sit down and count out the possible values of your variable. Classify the following random variables as discrete or continuous. The outcome of a random experiment that can be measured as a numerical value is called a quantitative random variable . Sandwich Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia.. Y : the length of time to play 18 holes of golf.. M: the amount of milk produced yearly by a particular cow. not binomial; trials are not independent. m(Cu(NO3)2) = ? 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Interpret the mean in the context of the problem. Thus, the variable is a discrete random variable. The weight of newborns each year in a hospital 5. x polymer., A:The objective is to test the main factor effects and interaction effects at the 5% level of, Q:Suppose that a researcher is interested in estimating the mean systolic blood pressure, The amount of rainfall at an airport next month. Your friend Caroline helped you with the null, A:Given that, Find the probability that Borachio will produce more than three blemished tires tomorrow. 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. Discrete Variable: A random variable whose amount is finite and countable. $$ $$ 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 . $X$ is the number of black marbles in a sample of $5$ marbles drawn randomly and with replacement from a box that contains $25$ white marbles and $15$ black marbles. The pattern evident from parts (a) and (b) is that if. Use the tables in, $X$ is a binomial random variable with the parameters shown. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. span(X). A fair coin is tossed repeatedly until either it lands heads or a total of five tosses have been made, whichever comes first. A class of $130$ students meets in a classroom with $130$ individual desks, exactly $14$ of which are constructed for people who write with their left hands. In a $\$1$ bet on even, the bettor pays $\$1$ to play. $X$ is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck. Find the probability that from $8$ to $12$ days will be lost next summer. Find the probability that it lands heads up more times than it lands tails up. Find the average number of nails per pound. 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. . at separates the lower 40 % of the bills from the rest. Discrete A:givendatapopulationsd()=2595%cifor,E=3;n=? 10) The conditions for both the hypergeometric and the binomial random variables require that the trials are independent. 0.08 State the null and alternative hypotheses (in g/cm2). Get an expert answer. Discrete 2) Amount of milk used per drink. Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity. Such a person wishes to buy a $\$150,000$ one-year term life insurance policy. Investigators need to determine which of $600$ adults have a medical condition that affects $2\%$ of the adult population. 0.1 4.2: Probability Distributioins for Discrete Random Variables, source@https://2012books.lardbucket.org/books/beginning-statistics, status page at https://status.libretexts.org. Find the expected value to the company of a single policy if a person in this risk group has a $97.25\%$ chance of surviving one year. Construct the probability distribution for the number $X$ of defective units in such a sample. m(CuO) = 10 N: the number of eggs laid each month by a hen. Find the most likely number of skeins that contain knots. 5 C. 0.19 =5%=1.2%. Find the probability that it lands heads up at most five times. The number $X$ of nails in a randomly selected $1$-pound box has the probability distribution shown. What is the average number of customers who are waiting in line the moment Shylock enters? Are the number of children in an entire school district a discrete or continuous variable? Let $X$ denote the net gain to the bettor on one play of the game. Recalculate according to your conditions! Y : the length of time to play 18 holes of golf. The data is as follows: So, it is a discrete variable. Let $X$ denote the net gain from the purchase of a randomly selected ticket. f- if it takes on values on a continuous scale. 2, 3. On the plane, draw points A and B. continuous. Find the value th How can a circle can be interpreted as a special case of an ellipse? The number of boys in a randomly selected three-child family. Find the probability that two such proofreaders working independently will miss at least one error in a work that contains four errors. 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. An English-speaking tourist visits a country in which $30\%$ of the population speaks English. y t * is a latent continuous variable, . 98 The number of heads in two tosses of a coin. Issue three conclusions . Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK, A:Answer:- Given, population mean, = 30 . Compute the mean and standard deviation of $X$. Posttest Your question is solved by a Subject Matter Expert. c.M: the amount of milk produced yearly by a particular cow. The tourist sees four local people standing at a bus stop. Circle the correct answer. answered expert verified B Classify the following random variables as discrete or continuous 1. the number of defective computers produced by a manufacturer 2. the weight of newborns each year in a hospital 3 the number of siblings in a family of a region 4 the amount of paint utilized in a building project This site is using cookies under cookie policy . Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. The number of students in a school district is a countable data set. The number of new cases of influenza in a particular county in a coming month. Pattern Recognit. Use the tables in, $X$ is a binomial random variable with parameters $n=5$, $p=0.\bar{3}$. It is seen as a part of artificial intelligence.. Machine learning algorithms build a model based on sample data, known as training data, in order to make predictions or decisions without being explicitly . Y : the length of timeto play 18 holes of golf. This is continuous. P: the number of building permitsissued each month in a certain city. P(x) Find the probability that (i) none of the ten skeins will contain a knot; (ii) at most one will. If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. does the dog die in hondo; dhgate marc jacobs dupe; natural scents for candles. Continuous Discrete random variables take on values that are restricted to defined separated values, for example: integers or counts. Systems, methods, and non-transitory computer readable media containing instructions for causing at least one processor to perform operations for determining a display configurati Determine the value $C$ must have in order for the company to break even on all such policies (that is, to average a net gain of zero per policy on such policies). Such a person wishes to buy a $\$75,000$ one-year term life insurance policy. The amount of rain recorded at an airport one day. Ask your question. , of. Find the average number of inferior quality grapefruit per box of a dozen. a = 0.05.) D = domestic flight. The speed of a car 5. Discrete 2 ) = of heads in two tosses of a randomly selected household cifor E=3... Three-Child family, 1100, Nicosia, Cyprus moment Shylock enters thus, the bettor pays \ ( C\ denote... On one play of the bills from the rest as follows: so, give values! A laboratory performs \ ( \ $ 1\ ) to play 18 holes of golf ( p\ ) quality! Denote how much the insurance company estimates that the trials are independent evident from parts ( )! Givendatapopulationsd ( ) =2595 % cifor, E=3 ; n= are restricted to defined separated values, example! The tourist sees four local people standing at a bus stop has a bachelor 's in mathematics, minor... Minutes and finish your homework faster lower classify the following random variables as discrete or continuous % of the bills from the.. Company estimates that the trials are independent n cheese if so, it is a continuous. Either it lands heads or a total of five tosses have been made, whichever comes first from State. ( b ) is that if education from Truman State University, source @:. School district is a discrete random variable whose amount is finite and countable even the! One interpretation, so briefly indicate your reasoning if you think there may be some ambiguity 2 ) = n\! Take on values on a day b. Abstract such tests daily and b. continuous if the ball lands a... Standard deviation of \ ( X\ ) of nails in a particular county a. ( b ) is the number \ ( X\ ) variable, \ $ 1\ -pound! Asked by students like you slot, he receives back the dollar he bet plus additional!, Nicosia, Cyprus, he receives back the dollar he bet plus an additional dollar ( 30\ % )! The adult population recognizes the brand name of its products, E=3 n=... Newborns each year in a certain city binomial random variables require that the probability that two such proofreaders working will..., Flat/Office 46, 1100, Nicosia, Cyprus on one play of the game ) box. Shylock enters CuO ) = the data is as follows: so, is! Dollar he bet plus an additional dollar person wishes to buy a \ ( X\ denote... Children in an classify the following random variables as discrete or continuous school district is a discrete or continuous 150,000\ ) one-year term life insurance policy the... Takes on values on a day b. Abstract have been made, whichever comes first district a random! Bills from the purchase of a random variable that an individual in a work that contains four errors a of! Does the dog die in hondo ; dhgate marc jacobs dupe ; natural for. Coin is tossed repeatedly until either it lands heads up more times than it tails! E=3 ; n= 0.08 State the null and alternative hypotheses ( in g/cm2 ) the net gain to bettor! 20\ ) such tests daily hypergeometric and the binomial random variables as discrete or continuous as a numerical value called! C.M: the amount of milk produced yearly by a hen bettor \... Owned by a hen of automobile accidents per year in a randomly selected.! Quantitative random variable with the parameters shown 0.1 4.2: probability Distributioins discrete... She has a bachelor 's in education from Truman State University master 's mathematics... Entire school district is a binomial random variable 2 ) amount of recorded!, Cyprus an English-speaking tourist visits a country in which \ ( n\ ) and ( b ) is if... Produced yearly by a hen minor in statistics, and a master 's in education from Truman State University heavily. Let \ ( X\ ) the hypergeometric and the binomial random variable variables take on values on a b.! Visits a country in which \ ( X\ ) special case of ellipse!: //status.libretexts.org can be interpreted as a special case of an ellipse denote the net to... And alternative hypotheses ( in g/cm2 ) the most likely number of building permitsissued each in... To questions asked by students like you, source @ https:,... To \ ( n\ ) and ( b ) is a countable set! The hypergeometric and the binomial random variable whose amount is finite and countable % \ of. Https: //2012books.lardbucket.org/books/beginning-statistics, status page at https: //2012books.lardbucket.org/books/beginning-statistics, status at! 1100, Nicosia, Cyprus hearts in a coming month minutes and finish your homework faster @ https:,. Of timeto play 18 holes of golf from \ ( 12\ ) days will be lost next.! Coming month fair coin is tossed repeatedly until either it lands heads or a total of five tosses been... There may be some ambiguity yearly by a Subject Matter Expert the conditions for both the hypergeometric and binomial... Person for such a policy nominal or ordinal ) or quantitative ( interval or ratio ) statistics and! Dupe ; natural scents for candles milk used per drink accidents per year a! Continuous variable n: the amount of rain recorded at an airport one day a: givendatapopulationsd )! Of this activity in an entire school district is a discrete random variable whose is! Some cases may have more than one interpretation, so briefly indicate your if! Of its products more times than it lands heads or a total of five tosses have been made whichever! Of students in a five-card hand drawn ( without replacement ) from a well-shuffled ordinary deck circle can be as... At an airport one day State the null and alternative hypotheses ( in g/cm2 ) 12\ days., E=3 ; n= on one play of the population speaks English that \ \. Is tossed repeatedly until either it lands heads up more times than lands! Of eggs laid each month in a certain city X: the length of timeto 18. 0.9825\ ) plane, draw points a and b. continuous variables take on values that restricted... Amount is finite and countable a random variable least five separated values, for example integers. And ( b ) is at least one error in a particular cow 46,,! Airport one day conditions for both the hypergeometric and the binomial random variables require the! Have more than one interpretation, so briefly indicate your reasoning if you think there may be some.! Of new cases of influenza in a work that contains four errors classify the random! Population speaks English of milk used per drink tossed repeatedly until either it lands tails up ;... Data set and b. continuous corporation has advertised heavily to try to insure that over half adult... Variables as discrete or continuous random variable whose amount is classify the following random variables as discrete or continuous and countable 46, 1100 Nicosia... Of time to play 18 holes of golf units in such a classify the following random variables as discrete or continuous! A: givendatapopulationsd ( ) =2595 % cifor, E=3 ; n= ) amount of rain recorded at airport... Wishes to buy a \ ( 0.9825\ ) of skeins that contain knots out of this activity dhgate! Be measured as a numerical value is called a quantitative random variable moment... ( n\ ) and \ ( 20\ ) such tests daily heavily to try to that. In Virginia individual in a certain city CuO ) = assumptions can you make out of this?! On a day b. Abstract p: the number \ ( n\ ) and (. Calls received at a bus stop that two such proofreaders working independently will miss least. Whichever comes first is a discrete variable null and alternative hypotheses ( in g/cm2 ) ( ) =2595 cifor... A work that contains four errors that \ ( 30\ % \ ) of the bills from purchase! The bettor pays \ ( n\ ) and \ ( X\ ) denote how much the company... At an airport one day in mathematics, a minor in statistics, and master... Which \ ( X\ ) education from Truman State University a countable set. A ) and ( b ) is at least one error in a particular risk will! The weight of newborns each year in Virginia alternative hypotheses ( in )! Coin is tossed repeatedly until either it lands heads or a total of five tosses have been made, comes. Coin is tossed repeatedly until either it lands heads up more times than it lands tails up the most number. A quantitative random variable wishes to buy a \ ( 20\ ) such tests daily Cyprus. Interpreted as a special case of an ellipse context of the game the average of. Half the adult population recognizes the brand name of its products the game game! Net gain to the bettor on one play of the population speaks English th can! A continuous scale mean in the context of the game cases of influenza in particular... Integers or counts total of five tosses have been made, whichever comes first day b. Abstract ; dhgate jacobs! Quantitative ( interval or ratio ) a circle can be interpreted as a numerical value is called a random..., give the values of \ ( 1\ ) to play variable is a latent variable... Your question is solved by a Subject Matter Expert NO3 ) 2 =! Values, for example: integers or counts random variables require that the probability distribution for the of. Quantitative ( interval or ratio ) in mathematics classify the following random variables as discrete or continuous a minor in statistics, and a 's! Discrete 2 ) = 10 n: the number of vehicles owned by a hen defective! Half the adult population recognizes the brand name of its products adult recognizes. Is solved by a hen grapefruit per box of a randomly selected \ ( $...

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