STAT 200 Final Exam (FALL 2016) STAT 200 Final Exam 2016 | Page 6

Determine the mean and standard deviation of x. Show all work.
x -2 -1 0 1 2
P(x) 0.1 0.1 0.3 0.2 0.3
11. Mimi joined UMUC basketball team since summer 2016. 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 2 of the 15 field goals. (round the answer to
3
decimal places) Show all work.
12. A research concludes that the number of hours of exercise per week for adults is
normally
distributed with a mean of 3.5 hours and a standard deviation of 3 hours. Show all work.
(a) Find the 80th percentile for the distribution of exercise time per week. (round the answer
to 2 decimal places)
(b) What is the probability that a randomly selected adult has more than 7 hours of exercise
per week?
(round the answer to 4 decimal places)