Part (a) If X = average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. X-N 250 ✓ 7.43 Part (b) What is the probability that the 49 balls traveled an average of less than 242 feet? (Round your answer to four decimal places.) Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. ^^ 270 230 O 230 ✓ 230 Part (c) 240 240 250 250 260 260 270 230 240 240 250 250 Find the 70th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.) ft 260 260 270 270 ar

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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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 52 feet. We randomly sample 49 fly
balls.
Part (a)
If X = average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places.
X-N
250
7.43
Part (b)
What is the probability that the 49 balls traveled an average of less than 242 feet? (Round your answer to four decimal places.)
Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability.
▲▲
270
230
O
230
✓
230
Part (c)
240
240
250
250
260
260
270
230
240
240
250
250
Find the 70th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.)
ft
260
260
270
270
sig
arnin
Transcribed Image Text: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 52 feet. We randomly sample 49 fly balls. Part (a) If X = average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. X-N 250 7.43 Part (b) What is the probability that the 49 balls traveled an average of less than 242 feet? (Round your answer to four decimal places.) Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. ▲▲ 270 230 O 230 ✓ 230 Part (c) 240 240 250 250 260 260 270 230 240 240 250 250 Find the 70th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.) ft 260 260 270 270 sig arnin
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