Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of265 feet and a standard deviation of 45 feet. Let x be the distance in feet for a fly ball. a. What is thedistribution of x ? x-N(,) b. Find the probability that a randomly hit fly ball travels less than 336 feet. Roundto 4 decimal places. c. Find the 70th percentile for the distribution of distance of fly balls. Round to 2decimal places. feetงcSuppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of265 feet and a standard deviation of 45 feet. Let X be the distance in feet for a fly ball.a. What is the distribution of X? X - N(b. Find the probability that a randomly hit fly ball travels less than 336 feet. Round to 4 decimal places.c. Find the 70th percentile for the distribution of distance of fly balls. Round to 2 decimal places.feet

The mean is 265 feet and a standard deviation is 45 feet.

Answered: Suppose that the distance of fly balls…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A forest ranger has data on the heights of a large growth of young pine trees. The mean height is 3.2 feet and the standard deviation 0.6 feet. A histogram shows that the distribution of heights is approximately normal. Approximately what proportion of the trees should we expect to be between 4.0 and 4.4 feet tall? A) 0.02 B) 0.07 C) 0.91 D) 0.98
Assume the selling prices of homes in a particular community follow a normal distribution with a mean of $263,100 and a standard deviation of $43,200. Complete parts a through c. a. Determine the range of selling prices in this community that includes one standard deviation around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) b. Determine the range of selling prices in this community that includes two standard deviations around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) c. Determine the range of selling prices in this community that includes three standard deviations around the mean. The range is from $ to $1. (Type integers or decimals. Use ascending order.)
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Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is between -2.05 and 3.87 and draw a sketch of the region. Sketch the region. Choose the correct graph below. OA. OB. OC. OD. -2.05 3.87 2.05 3.87 -2.05 3.87 -2.05 3.87 The probability is (Round to four decimal places as needed.)
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