Determine the value for c and the covariance and correlation

Determine the value for c and the covariance and correlation coefficient for the joint probability mass function fx,y(x, y) = c(x + y) for x =1,2,3 and y =1,2,3. Determine the covariance and correlation coefficient for the joint probability density function fx,y(x, y) = e^-x-y over the range x>0 and y>0. A random variable X has the discrete uniform distribution f(x) = 1/m x = 1,2,..,m Show that the moment generating function is Use Mx(t) to find the mean and variance of X. Suppose X has a continuous uniform distribution f(x) = Use Chebyshev\'s rule to bound the probability that X differs from its mean by more than two standard deviations and compare to the actual probability. If X1, X2, X3 and X4 are (pairwise) uncorrelated random variables, each having mean 0 and variance 1, compute the correlations coefficient of X1 + X2 and X2 + X3; X1 + X2and X3 + X4. The repair time (in hours) for a certain electronically controlled milling machine follows the density function f(x) = Determine the moment-generating function for X (Mx(t)) and use this function to evaluate E(X) and V(X)? ( Suppose t

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