) Mimi plans to make a random guess at 10 true-or-false questions. Answer the following questions:

(a) (1 pts) Assume random number X is the number of correct answers Mimi gets. As we know, X follows a binomial distribution. What is n (the number of trials), p (probability of success in each trial) and q (probability of failure in each trial)?

(b) (3 pts) What is the probability that she gets at least 8 correct answers? (Show work and round the answer to 4 decimal places)

(c) (2 pts) How many correct answers can she expect to get? (Hint : What is the expected value of the binomial distribution?) (Show work)