Let X be a binomial rv based on n trials with success probability p. That is, X - Bin(n, p). (a) For fixed n, are there values of p (0 sp s 1) for which V(X) = 0? (Enter your answers as a comma-separated list. If there is no answer, enter NONE.) Explain why this is so. (Select all that apply.) When every trial will be a failure, there is no variability in X. When every trial will be a success, there is no variability in X. When the probability of success is the same as the probability of failure, there is no variability in X. There are no values of p for which v(X) = 0. (b) For what value of p is V(X) maximized? [Hint: Either graph V(X) as a function of p or else take a derivative.] p =

Let X be a binomial rv based on n trials with success probability p. That is, X - Bin(n, p). (a) For fixed n, are there values of p (0 sp s 1) for which V(X) = 0? (Enter your answers as a comma-separated list. If there is no answer, enter NONE.) Explain why this is so. (Select all that apply.) When every trial will be a failure, there is no variability in X. When every trial will be a success, there is no variability in X. When the probability of success is the same as the probability of failure, there is no variability in X. There are no values of p for which v(X) = 0. (b) For what value of p is V(X) maximized? [Hint: Either graph V(X) as a function of p or else take a derivative.] p =

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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