. Suppose N is binomial with n = 1000 and success probability p. Find a 90% confidence interval for p using ˆp = N/1000 when N = 330. What are E ˆp and Var ˆp?   . Assume that X1,X2, . . . , Xn are...

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Suppose N is binomial with n = 1000 and success probability

p. Find a 90% confidence interval for p using ˆp = N/1000 when N = 330.

What are E ˆp and Var ˆp?

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Assume that X1,X2, . . . , Xn are iid random variables having

the exponential distribution with parameter λ. Find the maximum likelihood

estimator of λ.