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
