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Mathematics, 25.01.2021 01:00 sandy8438

PLEASE HELP The distance in the archery event in the 2016 Olympics are normally distributed with a mean of 100 yards and a standard deviation of 15 yards.

a. What is the probability that an archer has a distance of less than 75 hours?

b. What is the probability that an archer has a distance of more than 165hours?

c. What is the probability that an archer has a distance of more than 100yard and less than 125 yards ?

d. To make the finals, the Olympics take the top 10% in the semi-final standings. What is the maximum distance an archer can shoot and still not make the finals?

e. To earn the participation trophy the Olympics hand out, they take the bottom 5% of archers., What is the distance an archer can shoot and receive a participation trophy?

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