Find the probability that exactly 6 of them are college

texelaare

texelaare

Answered question

2021-09-24

Find the probability that exactly 6 of them are college graduates.

Answer & Explanation

SchulzD

SchulzD

Skilled2021-09-25Added 83 answers

Calculation:
Binomial probability:
Suppose X is a random variable with n trails and probability of success p, then probability of getting exactly k successes is,
P(X=k)=(beg{array}{c}nkend{array})pk(1p)nk
The random variable X is defined as the number of college graduates. A sample of 12 US adults is taken, that is n=12. The probability that US adults have graduated from college is, p=0.275. The probability for exactly 6 has to be calculated.
Substitute, n=12,p=0.275 and k=6 in binomial probability formula.
P(X=6)=(beg{array}{c}126end{array})(0.275)6(10.275)126
=924×0.0004325×0.1452205
=0.058
Hence, the probability that exactly 6 of them are college graduates is 0.058.

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