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Suppose that ages of players in a soccer league are uniformly distributed from 20 to 30 years old. In symbols, we say that the random

Suppose that ages of players in a soccer league are uniformly distributed from 20 to 30 years old. In symbols, we say that the random variable XU(a,b) where in this case a=20 and b=30. a. What is the expected age of a player in this team? b. What is the standard deviation in ages? Round to one decimal.

c. Find the probability that a player is less than 23 years of age. Round to three decimals.

d. What is the 25th percentile for ages? Round the percent to one decimal. e. Out of a random sample of 91 players, how many would you expect exceed 28 years of age? Round to one decimal.

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