# Question: Verify that f x 2x k k 1 for x 1

Verify that f(x) = 2x/k(k+ 1) for x = 1, 2, 3, . . . , k can serve as the probability distribution of a random variable with the given range.

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With reference to Exercise 3.28, find P(0.8< X < 1.2) using (a) The probability density; (b) The distribution function. The distribution function of the random variable X is given by Find P(X ≤ 2), P(1< X < 3), and P(X > 4). If the joint probability distribution of X and Y is given by f(x, y) = c(x2 + y2) for x = - 1, 0, 1, 3; y = - 1, 2, 3 find the value of c. Find the joint probability density of the two random variables X and Y whose joint distribution function is given by With reference to Exercise 3.62, In exercise Find k if the joint probability distribution of X, Y, and Z is given by f(x,y,z) = kxyz For x = 1, 2; y = 1, 2, 3; z = 1, 2. Find the following values of the joint distribution ...Post your question