Eighty percent of the students at a particular large university have logged on to Facebook at least once in the past week. A sample of 118 students is asked about their internet habits. Use the Cumulative Normal Distribution Table or technology. Round your answers to four decimal places. (a)What is the probability that less than 75% of the sampled students have logged on to Facebook within the last week? (b)What is the probability that more than 71% of the sampled students have logged on to Facebook within the last week?   (c)What is the probability that the proportion of the sampled students who have logged on to Facebook within the last week is between 0.81 and 0.84 ?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Eighty percent of the students at a particular large university have logged on to Facebook at least once in the past week. A sample of 118 students is asked about their internet habits. Use the Cumulative Normal Distribution Table or technology. Round your answers to four decimal places.

(a)What is the probability that less than 75% of the sampled students have logged on to Facebook within the last week?
(b)What is the probability that more than 71% of the sampled students have logged on to Facebook within the last week?
 
(c)What is the probability that the proportion of the sampled students who have logged on to Facebook within the last week is between 0.81 and 0.84 ?
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