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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 244 feet and a standard deviation of 59 feet. We randomly sample 70 fly balls Let X-average distance in feet for 70 fly balls. Enter numbers as integers or fractions in p/q form, or as decimals accurate to nearest 0.0 a. (.20) X ~ (pick one) #) ( b. (.20) Use the mean and standard deviation of X to determine the z value for X-240 Z- c. (.20) Illustrate P(X > 240) as an area by adjusting the sider along the horizontal axis to control the z value. 0.00 0.300 0.2 0.1 2 -1 OFill left Fill rightd. (.20) What is the probability that the 70 balls traveled an average of greater than 240 feet? P 240) e. (.20) Find the 80th percentile of the distribution of the average of 70 fly balls. That is, find x so that P(X < x) = 0.8 .

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Griven meanu) 244 Normal 2459 C) PLx2 240 )- 27 neto, then-final f (y >240)ive a valu 40

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