Answered: Suppose that the distance of fly balls… | bartleby

MATLAB: An Introduction with Applications

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.
O Part (a)
If X = average distance
n feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places.
O Part (b)
What is the probability that the 49 balls traveled an average of less than 240 feet? (Round your answer to four decimal places.)
Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability.
O 230
240
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270
O 230
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O 230
240
250
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O 230
240
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270
O Part (c)
Find the 60th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.)

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