A company has been randomly selecting employees to join committees but there does not seem to be a very equal distribution of level of employees (executives don’t want to be on committees). Assume that this is a really, really large company where 15% are executives; 20% are managers; 40% are exempt staff and the remaining are non-exempt staff. If 10 committees are to be formed (each with 6 members) what is the probability that at least 7 of the 10 have 2 managers, 2 exempt and 2 non-exempt staff?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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A company has been randomly selecting employees to join committees but there does not seem to be a very equal distribution of level of employees (executives don’t want to be on committees). Assume that this is a really, really large company where 15% are executives; 20% are managers; 40% are exempt staff and the remaining are non-exempt staff.

If 10 committees are to be formed (each with 6 members) what is the probability that at least 7 of the 10 have 2 managers, 2 exempt and 2 non-exempt staff?

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