Let X1, X2,.., X100 be independent binomial random variables with parameter p = 0.25. The sample mean is given by (a) Find the values of E(X) and Var(X). (b) State the sampling distribution of X. Explain why X has the sampling distribution that you stated. (c) Find P (X < 25.5). 50 (d) Find P ( X; > 1230 i=1

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Let X1, X2,.., X100 be independent binomial random variables with parameter p = 0.25. The sample mean is
given by
(a) Find the values of E(X) and Var(X).
(b) State the sampling distribution of X. Explain why X has the sampling distribution that you stated.
(c) Find P (X < 25.5).
50
(d) Find P ( X; > 1230
i=1
Transcribed Image Text:Let X1, X2,.., X100 be independent binomial random variables with parameter p = 0.25. The sample mean is given by (a) Find the values of E(X) and Var(X). (b) State the sampling distribution of X. Explain why X has the sampling distribution that you stated. (c) Find P (X < 25.5). 50 (d) Find P ( X; > 1230 i=1
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