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 =
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8536f70-6afb-49b2-94d8-7d5f9820999c%2F5e53defb-29fb-4a4b-b8c5-ff04eafcb973%2Fv5reb9_processed.png&w=3840&q=75)
Transcribed Image Text: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 =
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