In a soccer game let the number of goals scored by the home team be denoted by the random variable X and the number scored by the visiting team be denoted by the random variable Y.The probability distributions of X and Y are given below:x 0 1 2P(X = x) 0.20 0.40 0.40y 0 1 2P(Y = y) 0.20 0.70 0.10Assume that X and Y are independent random variables. Let T be the total number of goals scored in the game.1.Which one of the following statements is true?A) The mean of a random variable is always positive.B) The variance of a random variable is always greater than the mean of that random variable.C) The variance of a random variable is always less than the mean of that random variable.D) None of these is true.E) The variance of a random variable can be negative.2.What are the possible values that T can take ?A) None of theseB) {012}C) {024}D) {01234}E) {123}3.Which one of the following is the probability that T = 3?A) 0B) 0.38C) None of theseD) 0.32E) 0.40