A pair of fair dice is rolled. Let X the random variable representing the sum of the numbers that appear. a. Construct the probability distribution of X for a pair of dice. b. Find P(X≥ 8) c. Find...

A pair of fair dice is rolled. Let X the random variable representing the sum of the numbers that appear. a. Construct the probability distribution of X for a pair of dice. b. Find P(X≥ 8) c. Find P(X≤ 7) d. Find the probability that X takes an even value. e. Find P(3 ≤X≤ 10)