making frienDs In a survey of 2541 adults aged 18 years and older, 64% of respondents claimed that it was easier to make friends in person, whereas 36% thought that it was easier to do so through social-networking sites. Assuming that these results apply to the entire adult population, what is the probability that at most 3 out of 6 adults chosen at random hold the opinion that it is easier to make friends through social-networking sites?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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making frienDs In a survey of 2541 adults aged 18 years
and older, 64% of respondents claimed that it was easier
to make friends in person, whereas 36% thought that it
was easier to do so through social-networking sites.
Assuming that these results apply to the entire adult
population, what is the probability that at most 3 out of
6 adults chosen at random hold the opinion that it is
easier to make friends through social-networking sites?
Source: Skout.

Expert Solution
Step 1

X~Binom(n,p)

P(X =x) = nxpx(1-p)n-x

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