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- Suppose X has a continuous uniform distribution over the interval [-2, 2]. Determine (a) Mean (b)variance, and (c) standard deviation of XLet X be a continuous random variable with uniform distribution on the interval [1,7]. What is Var[X]?Find the mean and variance for the probability distribution given by f(x)= 2x k(k+1)* -,x=1,2,3,...k
- (3) Let X = b >(8,-) find E(5+6x) and distribution function.Let X, and X2 be independent exponential distributions with the same parameter 2. What is the joint distribution of Y, = X, + X2 and Y, X1 -? What are the distributions of Y, and X1+X2 Y2?Let T t(7), then the distribution of T is ------ distribution.