6. The probabilities that a production process will produce 0, 1, 2, 3, 4 or 5 units in one hour are 0.05, 0.16, 0.21, 0.34, 0.22 and 0.02 respectively. Find the mean and the variance of this probability distribution. 7. Let X represent the outcome when a balanced die is tossed. If g(X) = 3X2+4, Find: a) /(x) b ) 0 8 ( x ) 8. The probability distribution of the discrete random variable X is: f ( x ) = 3-x for x = 0, 1, 2, 3 Find the mean of X