Suppose that a technology task force is being formed to study technology awareness among instructors. Assume that ten people will be randomly chosen to be on the committee from a group of 28 volunteers, 20 who are technically proficient and eight who are not. We are interested in the number on the committee who are not technically proficient. a. In words, define the random variable X. b. List the values that X may take on. c. How many instructors do you expect on the committee who are not technically proficient? d. Find the probability that at least five on the committee are not technically proficient. e. Find the probability that at most three on the committee are not technically proficient.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Suppose that a technology task force is being formed to study technology awareness among instructors.
Assume that ten people will be randomly chosen to be on the committee from a group of 28 volunteers,
20 who are technically proficient and eight who are not. We are interested in the number on the
committee who are not technically proficient.
a. In words, define the random variable X.
b. List the values that X may take on.
c. How many instructors do you expect on the committee who are not technically proficient?
d. Find the probability that at least five on the committee are not technically proficient.
e. Find the probability that at most three on the committee are not technically proficient.
Transcribed Image Text:Suppose that a technology task force is being formed to study technology awareness among instructors. Assume that ten people will be randomly chosen to be on the committee from a group of 28 volunteers, 20 who are technically proficient and eight who are not. We are interested in the number on the committee who are not technically proficient. a. In words, define the random variable X. b. List the values that X may take on. c. How many instructors do you expect on the committee who are not technically proficient? d. Find the probability that at least five on the committee are not technically proficient. e. Find the probability that at most three on the committee are not technically proficient.
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