Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 200 feet and a standard deviation of 40 feet. Let X = distance in feet for a fly ball. a. f one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.) b. Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place c. Write the probability statement. (Let k represent the score that corresponds to the 80th percentile.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.