Question

suppose that the distance of tennis balls hit outside of the court is normally distributed with...

suppose that the distance of tennis balls hit outside of the court is normally distributed with a mean of 230 feet and a standard deviation of 65 feet. We randomly sample 37 tennis balls hit.

1. What is the probability that the 37 tennis balls traveled an average of less than 220 feet?

2. Find the probability that the average of the 37 tennis balls hit was between 60 feet and 75 feet.

3. Find the 70th percentile of the distribution of the average 37 tennis balls hit.

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