Round all answers to 2 decimals when appropriate A certain tennis player makes a successful first serve 68% of the time. Assume that each serve is independent of the others. She averages 83 1st serves...

Round all answers to 2 decimals when appropriate

A certain tennis player makes a successful first serve 68% of the time. Assume that each serve is independent of the others. She averages 83 1st serves per match.

a) Out of 83 first serves, what is the probability that she makes 48 good 1st serves or fewer?

b) Find the mean and standard deviation for the number of good 1st serves out of 83 attempts.

c) Does the normal approximation apply? Explain.

d) Use the normal distribution to find the probability that she gets 48 good 1st serves or fewer out of 83 attempts.