A normally distributed population has mean 57,800 and standard deviation 750.  a) The probability that a single randomly selected element X of the population is between 57,000 and 58,000 is about? b) The probability that the mean of a sample of size 100 drawn from this population is between 57,000 and 58,000 is about?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A normally distributed population has mean 57,800 and standard deviation 750. 

a) The probability that a single randomly selected element X of the population is between 57,000 and 58,000 is about?

b) The probability that the mean of a sample of size 100 drawn from this population is between 57,000 and 58,000 is about?

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