A basketball player makes 70% of her free throws in a long season. In a tournament game she shoots 5 free throws late in the game and misses 3 of them. The fans think she was nervous, but the misses may simply be chance. You will shed some light by estimating a probability.
(a) Describe how to simulate a single shot if the probability of making each shot is 0.7. Then describe how to simulate 5 independent shots.
(b) Simulate 50 repetitions of the 5 shots and record the number missed on each repetition. Use Table B starting at line 126. (Use the highest possible digits to represent misses. Use single digit numbers. Enter the frequency of your results. Let X represent the number of misses.)
X 0 1 2 3 4 5
Frequency
What is the approximate likelihood that the player will miss 3 or more of the 5 shots?