Let X be a random variable that takes on values between 0 and c. That is, P(0 < X < c) = 1. Show that c2 Var(X) <4
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- Let X be a random variable corresponding to 2021 oil production in New Mexico relative to 2020. Let Y be a random variable corresponding to 2021 oil production in Texas relative to 2020. Suppose the joint distribution of X and Y is f (x,y) = 4xy for x,y SET [0,1] Find P (X < 1/2 | Y > 3/4) ** X is less than or equal to 1/2 and Y is greater than or equal to 3/4Let X = b(n, and E(3x) = E(3-5x) find n.The time between successive requests to a server are independent random variables, each exponentially distributed with mean 2 (so parameter 1/2). Let Tn denote the time of the nth request. What are the mean and variance of Tn? 2, n On, n² ● 2n, 4n 2n, 4n² None of the other choices.