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Exhibit 5-8 The student body of a large university consists of 60% female students. A random sample of 8 students is selected. Refer to Exhibit 5-8. What is the probability that among the students in the sample exactly two are female?

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opudodennis

Answer:

P(X=2)=0.04129

Step-by-step explanation:

-This is a binomial probability problem whose function is expressed as;

[tex]P(X=x)={n\choose x}p^x(1-p){n-x}[/tex]

-Given that p=0.6, n=8 , the probability that among the students in the sample exactly two are female is calculated as:

[tex]P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=2)={8\choose2}0.6^2(1-0.6)^6\\\\=0.04129[/tex]

Hence, the probability of exactly two females is 0.04129