(Answered) There are 2 runners on the team at a university the team is

Statistics

There are 2 runners on the team at a University. The team is about to enter a race, where each runner runs a mile and their individual scores are combined to make a team score. Assume the two runners race independently o each other. Their individual times and scores are normally distributed with the following means and standard deviations.

Runner 1

Mean= 5.1 Standard Deviation =.19

Runner 2

Mean=4.9 Standard Deviation =.14

a) What are the mean and standard deviation of the team times?

b) Suppose that the teams best time to date is 9.9 minutes. What is the probability that the team beats its own best time?

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