# Question: In each of the following cases find the value of

In each of the following cases, find the value of the parameter a which causes the indicated random variable to have a mean value of 10.

(a)

(b)

(c)

(a)

(b)

(c)

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A real number between 0 and l00 is randomly selected according to a uniform distribution and rounded off to the nearest integer. For example, 36.5001 is rounded off to 37; √3 is rounded off to 2; and 69.49 is rounded off ...Recall the joint CDF given, (a) Find Pr (X < 3/4). (b) Find Pr(X > 1/2). (c) Find Pr (Y > 1/4). (d) Find Pr (1 / 4 < X 1 /2, 1/2 < Y < 1). Let be a random variable that follows a Poisson distribution, so that for some constant , a, its PMF is Let be another random variable that, given M = m, is equally likely to take on any value in the set {0, 1, 2, ….,m}. ...Prove that if two random variables are linearly related (i. e., Y = aX + b for constants a ≠ 0 and b), then Also, prove that if two random variables have |p X, Y|then they are linearly related. Find an example (other than the one given in Example 5.15) of two random variables that are uncorrelated but not independent.Post your question