Mimi joined UMUC basketball team in spring 2017. On average, she is able to score 30% of the field goals. Assume she tries 15 field goals in a game.

(a) Let X be the number of field goals that Mimi scores in the game. As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?

(b) Find the probability that Mimi scores at least 3 of the 15 field goals. (round the answer to 3 decimal places)

Show all work. Just the answer, without supporting work, will receive no credit.