Answer:
Step-by-step explanation:
Given that among 13 electrical components exactly 3 are known not to function properly.
7 components are randomly selected
In this 7 components each component is independent of the other for not to function properly. Also there are two outcomes.
X - no of components not to function properly is Bin with n=7 and
p = [tex]\frac{3}{13} =0.2308[/tex]
a) The probability that all selected components function properly.
=[tex]P(x=7) = (1-0.2308)^7\\\\=0.7692^7\\=0.1593[/tex]
b) The probability that exactly 2 are defective
= P(x=2) =[tex]7C2(0.2308)^2(0.7692)^5\\=0.0899[/tex]
c) The probability that at least 1 component is defective.
=[tex]P(X\geq 1) =1-P(X=0)\\=1-0.00526\\=0.9947[/tex]
