The length, X, of a lionfish is a normally distributed random variable with a mean of 13.5 inches and a standard deviation of 2.4 inc Suppose that we measure the lengths of 150 randomly chosen lionfish. Let M be the sample mean of the 150 length measurements be the sum of the 150 length measurements. a) What is the probability that X < 9.3? | ) What is the probability that X > 9.3? :) What is the probability that all of the 150 measurements are greater than 9.3? What is the expected value of $₂0

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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The length, X, of a lionfish is a normally distributed random variable with a mean of 13.5 inches and a standard deviation of 2.4 inches.
Suppose that we measure the lengths of 150 randomly chosen lionfish. Let M be the sample mean of the 150 length measurements. Let S
be the sum of the 150 length measurements.
a) What is the probability that X < 9.3?
b) What is the probability that X > 9.3?
c) What is the probability that all of the 150 measurements are greater than 9.3?
d) What is the expected value of S? |
Please solution USING R script
Transcribed Image Text:The length, X, of a lionfish is a normally distributed random variable with a mean of 13.5 inches and a standard deviation of 2.4 inches. Suppose that we measure the lengths of 150 randomly chosen lionfish. Let M be the sample mean of the 150 length measurements. Let S be the sum of the 150 length measurements. a) What is the probability that X < 9.3? b) What is the probability that X > 9.3? c) What is the probability that all of the 150 measurements are greater than 9.3? d) What is the expected value of S? | Please solution USING R script
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