Question 3*: a. Let II be distributed as Uniform(0, 1) and the conditional distribution of X given II = 7 is Binomial(1, 7). Find E(X)
Question 3*: a. Let II be distributed as Uniform(0, 1) and the conditional distribution of X given II = 7 is Binomial(1, 7). Find E(X) and var(X). b. Let X > 0 be a continuous random variable with probability density function f(x) and cumulative distribution function F(x). Show that E(X) = [1 - F(x)] dx
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