A random variable X has a binomial distribution, and a random variable Y has a Poisson distribution. Both X and Y have means equal to 3. Is it possible to determine which random variable has the larger variance? Choose one of the following answers: a) Yes, X has the larger variance. b) Yes, Y has the larger variance. c) No, we need to know the number of trials, n, for X. d) No, we need to know the success probability, p, for X. e) No, we need to know the value of λ for Y.
A random variable X has a binomial distribution, and a random variable Y has a Poisson distribution. Both X and Y have means equal to 3. Is it possible to determine which random variable has the larger variance? Choose one of the following answers: a) Yes, X has the larger variance. b) Yes, Y has the larger variance. c) No, we need to know the number of trials, n, for X. d) No, we need to know the success probability, p, for X. e) No, we need to know the value of λ for Y.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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A random variable X has a binomial distribution, and a random variable Y has a Poisson distribution. Both X and Y have means equal to 3. Is it possible to determine which random variable has the larger variance? Choose one of the following answers: a) Yes, X has the larger variance. b) Yes, Y has the larger variance. c) No, we need to know the number of trials, n, for X. d) No, we need to know the success probability, p, for X. e) No, we need to know the value of λ for Y.
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