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Mathematics, 19.05.2020 18:06 hiji0206

Problem 3 Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 300 feet and a standard deviation of 50 feet. Let X= distance in feet for a fly ball. In each appropriate box you are to enter either a rational number in "p/q" format or a decimal value accurate to the nearest 0.01 . X∼ ( 300 , 50 ) . For a random fly ball, what is the probability that this ball traveled fewer than 220 feet? P(X<220)= 0.05 . The 80th percentile of the distribution of fly balls is given by P(X< 342 )=0.80 .

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