Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 232 feet and a standard deviation of 52 feet. We randomly sample 49 fly balls. I need help solving the problems below What's the probability that the 49 balls traveled an average of less than 224 feet? (answer must be rounded to four decimal places) Sketch the graph. Scale the horizontal axis for  x̅. and shade the region corresponding to the probability Find the 70th percentile of the distribution of the average of 49 fly balls. (answer must be rounded to two decimal places)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 232 feet and a standard deviation of 52 feet. We randomly sample 49 fly balls.

I need help solving the problems below

  1. What's the probability that the 49 balls traveled an average of less than 224 feet? (answer must be rounded to four decimal places)
  2. Sketch the graph. Scale the horizontal axis for 
    x̅. and shade the region corresponding to the probability
  3. Find the 70th percentile of the distribution of the average of 49 fly balls. (answer must be rounded to two decimal places)

Can you please show me your work so I can understand and learn how you got the answer

Thank you

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