10.Mimi just started her tennis class three weeks ago. On average, she is able to return 20% of her opponents serves. Assume her opponent serves 8 times.

1. (a)Let X be the number of the serves that Mimi returns. 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?
2. (b)Find the probability that that she returns at least 1 of the 8 serves from her opponent. (round the answer to 3 decimal places)Show all work.

11.The heights of pecan trees are normally distributed with a mean of 10 feet and a standard deviation of 2 feet.Show all work.

1. (a)What is the probability that a randomly selected pecan tree is between 7 and 11 feet tall? (round the answer to 4 decimal places)
2. (b)Find the 40th percentile of the pecan tree height distribution. (round the answer to 2 decimal places)