Question

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?

Answer 1

Answer:

P(X=2)=0.04129

Step-by-step explanation:

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

$P(X=x)={n\choose x}p^x(1-p){n-x}$

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

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

Hence, the probability of exactly two females is 0.04129