Suppose it is known that 80% people own a cellphone. If a random sample of 100 people were surveyed, a) what is the mean and standard deviation of the sample proportion?  b) what is the probability that the proportion of the sample who owned a cellphone is greater than 83%  c) what is the probability that the proportion of the sample who owned a cellphone is between 78% and 84?

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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Suppose it is known that 80% people own a cellphone. If a random sample of 100 people were surveyed,

a) what is the mean and standard deviation of the sample proportion? 
b) what is the probability that the proportion of the sample who owned a cellphone is greater than 83% 
c) what is the probability that the proportion of the sample who owned a cellphone is between 78% and 84?

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