9 1. Box A and B contain numbers 1, 2, 3, and 4. The following is the probability distribution of the sum when one number from each box is taken at a time with replacement. X 2 3 4 5 6 7 8 00 P(X) 1 1 3 1 3 1 1 - 16 8. 16 4 16 8 16 a. Find P (even). b. Find P (X> 5). c. Find the probability that X assumes a value of less than 4. d. Find the probability that X assumes a value greater than 6. e. Find the probability that X assumes a value between 3 and 8.