A survey showed that 75% of internet users are students. If 16 students are selected, (a) Find the probability that at least 14 students will use the internet (b) Find the probability that at most 7 students will use the internet (c) Find the expected value of all student users. (d) Compute the standard deviation.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A survey showed that 75% of internet users are students. If 16 students are selected,
(a) Find the probability that at least 14 students will use the internet
(b) Find the probability that at most 7 students will use the internet
(c) Find the expected value of all student users. (d) Compute the standard deviation. 

Expert Solution
Step 1

From the provided information,

75% of internet users are students that is p = 0.75

Sample size (n) = 16

The process should follow binomial distribution with probability distribution function as follow:

Probability homework question answer, step 1, image 1

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