Model each of the following situations using a binomial distribution. Identify the discrete random variable, X; the number of trials, n; the probability of success, p; and the probability of failure, q, in any trial. a) A game consists of rolling a die eight times. You win if the result is 5 or 6. You record the number of wins. b) A stand of 500 trees is infected by a particular insect. The chance of survival is 30%. The number of surviving trees is recorded