The following numbers are based off of the results of the

women's 100-meter dash at the 2022 Open.

Suppose that times to complete the 100-meter dash are normally distributed with a mean of 13.60

seconds and standard deviation 0.55 seconds.

c) What is the probability that the average time of the 17-person field will be between 13.4 and

13.5 seconds?

d) Suppose I had not told you in the setup to the problem that the times to finish the race were

normally distributed. Could you still answer the question posed in part c? Explain why or why