# Question

Let X be a binomial random variable with parameters n and p. Show that

## Answer to relevant Questions

Consider n independent sequential trials, each of which is successful with probability p. If there is a total of k successes, show that each of the n!/[k!(n − k)!] possible arrangements of the k successes and n − k ...Let X be a Poisson random variable with parameter λ. What value of λ maximizes P{X = k}, k ≥ 0? If X is a geometric random variable, show analytically that P{X = n + k|X > n} = P{X = k} Using the interpretation of a geometric random variable, give a verbal argument as to why the preceding equation is true. Let X be a random variable having expected value μ and variance σ2. Find the expected value and variance of Y = X - μ / σ Suppose that X is a normal random variable with mean 5. If P{X > 9} = .2, approximately what is Var(X)?Post your question

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