Answer:
[tex]P(X=2)=0.003177[/tex]
Step-by-step explanation:
-Defective parts are modeled using a binomial probability function:
[tex]P(X=x)={n\choose x}p^x(1-p)^x[/tex]
Where p is the probability of defects, n the sample size and x the sample space.
#Given the sample size as 6 and p=0.015, the probability that the sample contains exactly two defective parts is:
[tex]P(X=x)={n\choose x}p^x(1-p)^x\\\\P(X=2)={6\choose 2}0.015^2(1-0.015)^4\\\\=0.003177[/tex]
Hence, the probability that the sample contains exactly two defective parts is 0.003177
