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categoryإحصاء
schoolبكالوريوس
event_available2026-07-13
السؤال
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10.
-/3 points DevoreStat9 3.E.062.
Let X be a binomial rv based on n trials with success probability p. That is, X ~ Bin(n, p).
My Notes
(a) For fixed n, are there values of p (0 ≤ p ≤ 1) for which V(X) = 0? (Enter your answers as a comma-separated list. If
there is no answer, enter NONE.)
p =
Explain why this is so. (Select all that apply.)
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.
When every trial will be a 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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