answer it

C. Solve what are asked. When two fair dioe are thrown simultaneously, the following are the possible outcomes. {1, 1) {1, 2) {1, 3) {1, 4) {1, 5) {1, 6) {2, 1) {2, 2) {2, 3) {2, 4] {2, 5) {2, f3] {3, 1) {3, 2) {3, 3) {3, 4} {3, 5) {3, 6) {4, 1] (4, 2) {4, 3) {4, 4) {4, 5) {4, 6) {5, 1) {5, 2) {5, 3) {5, 4} {5, 5) {5, 6) {6, 1) {6, 2) {5, 3) {6, 4} {6, 5) {6, 6} 1. Given the random variable X = the sum of the two outcomes in throwing the two fair dice simultaneously. Give all the possible values. {10 pts) 2. Give the probabilities of each of the possible values. {l pts) 3. Construct the discrete probability distribution and its corresponding histogram. (10 pts) 4. Solve the mean, variance and standard deviation of the given distribution. {15 points]