According to a recent survey, 78% of web users share their password with others. Consider a random selection of 45 users and denote the proportion of them sharing their password as p. a. Calculate the mean and the standard error for p. b. Describe the sampling distribution of p and draw a graph of this probability distribution with its mean and standard deviation. c. What is the probability that less than 90% of them are sharing their password with others? d. What is the probability that more than 60% of them are sharing their password with others?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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According to a recent survey, 78% of web users share their password with others. Consider a random
selection of 45 users and denote the proportion of them sharing their password as p.
a. Calculate the mean and the standard error for p.
b. Describe the sampling distribution of p and draw a graph of this probability distribution with its
mean and standard deviation.
c. What is the probability that less than 90% of them are sharing their password with others?
d. What is the probability that more than 60% of them are sharing their password with others?
Transcribed Image Text:According to a recent survey, 78% of web users share their password with others. Consider a random selection of 45 users and denote the proportion of them sharing their password as p. a. Calculate the mean and the standard error for p. b. Describe the sampling distribution of p and draw a graph of this probability distribution with its mean and standard deviation. c. What is the probability that less than 90% of them are sharing their password with others? d. What is the probability that more than 60% of them are sharing their password with others?
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