SOLUTION: (This problem has 4 different questions.)
Twenty-five percent of the employees of a large company are minorities. A random sample of 7 employees is selected.
A) what is the proba
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-> SOLUTION: (This problem has 4 different questions.)
Twenty-five percent of the employees of a large company are minorities. A random sample of 7 employees is selected.
A) what is the proba
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Question 436898: (This problem has 4 different questions.)
Twenty-five percent of the employees of a large company are minorities. A random sample of 7 employees is selected.
A) what is the probability that the sample contains 4 minorities?
B) what is the probability that the sample contains fewer than 2 minorities?
C) what is the probability that the sample contains exactly 1 non-minority?
D) what is the expected value of minorities in the sample? Answer by ewatrrr(24785) (Show Source):
Hi
Note: The probability of x successes in n trials is:
P = nCx* where p and q are the probabilities of success and failure respectively.
In this case p = .25 and q = .75 and n = 7
nCx =
P( sample contains 4 minorities) = 35(.25)^4(.75)^3
P(sample < than 2 minorities)= P(0)+P(1) = (.75)^7 + 7(.25)(.75)^6
P(sample contains exactly 1 non-minority) = 7(.25)(.75)^6
expected value of minorities in the sample = .25*7 = 1.75
