The distribution of the runtimes of all movies is known to be skewed to the left with a mean of 101 minutes and a standard deviation of 11.53 minutes. Use this information to determine the following probabilities. Round solutions to four decimal places, if necessary. Find the probability that a random sample of 92 movies has a mean runtime greater than 99.7 minutes. P(a > 99.7) = Find the probability that a random sample of 92 movies has a mean runtime between 97.2 and 102.1 minutes. P(97.2 < < 102.1) = %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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27.
The distribution of the runtimes of all movies is known to be skewed to the left with a mean of 101
minutes and a standard deviation of 11.53 minutes. Use this information to determine the following
probabilities. Round solutions to four decimal places, if necessary.
Find the probability that a random sample of 92 movies has a mean runtime greater than 99.7 minutes.
P(@ > 99.7) =
Find the probability that a random sample of 92 movies has a mean runtime between 97.2 and 102.1
minutes.
P(97.2 < < 102.1) =
%3D
Transcribed Image Text:27. The distribution of the runtimes of all movies is known to be skewed to the left with a mean of 101 minutes and a standard deviation of 11.53 minutes. Use this information to determine the following probabilities. Round solutions to four decimal places, if necessary. Find the probability that a random sample of 92 movies has a mean runtime greater than 99.7 minutes. P(@ > 99.7) = Find the probability that a random sample of 92 movies has a mean runtime between 97.2 and 102.1 minutes. P(97.2 < < 102.1) = %3D
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