Question

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed...

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 246 feet and a standard deviation of 39 feet. Answer the following, rounding probabilities to 4 decimals.

Let X = the distance in feet for a fly ball.

a. X ~   (   ,  )

b. Find the probability that a randomly hit fly ball travels less than 200 feet.  

c. Find the probability that a randomly hit fly ball travels more than 350 feet.  

d. Find the probability that a randomly hit fly ball travels between 150 and 210 feet.  

e. 80% of fly balls travel between  feet and   feet. Round answers to 2 decimals.

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