Suppose that a technology task force is being formed to study technology awareness among instructors. Assume that 12 people will be randomly chosen to be on
the committee from a group of 30 volunteers, 21 who are technically proficient and 9 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.
the number of instructors on the committee
the number of people on the committee who are technically proficient
the number of volunteers
the number of people on the committee who are not technically proficient
(b) List the values that X may take on.
$X = 1, 2, 3, \dots, 98, 99, 100$
$X = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9$
$X = 1, 2, 3, \dots$
$X = 0, 1, 2, 3, \dots$
(c) How many instructors do you expect on the committee who are not technically proficient? (Round your answer to the nearest whole number.)
instructors
(d) Find the probability that at least 4 on the committee are not technically proficient. (Round your answer to four decimal places.)
(e) Find the probability that at most 3 on the committee are not technically proficient. (Round your answer to four decimal places.)
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