Question: a) AssumeXhasa distribution (i.e., 1, O k x s 1) i. Find the mean and variance Of X. ii. Find > 201, Whereo is

a) AssumeXhasa distribution (i.e., 1, O k x s 1) i. Find

a) AssumeXhasa distribution (i.e., 1, O k x s 1) i. Find the mean and variance Of X. ii. Find > 201, Whereo is the standard deviation Of k Checkwhetherthe probability satisfies the Chebyshev's inequality. b) Assume X has an Exponential(I/2) distribution (i.e f(x) (1/2)e-xa, x i. Find the mean and variance of X. ii- Find P[IX > 20], where c is the Standard deviation of X. Check whether the probability satisfies the ChebysheVs inequality.

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