Question

An inspector is testing 10 integrated circuits (ICs) that have been manufactured for the presence of impurities which can impede their proper functioning. A fraction 0.2 of ICs contains these impurities. What are the chances that 2 of the 10 ICs have defects? Assume that each IC either works, or does not work, independently of the others. Round your answer to three decimals; that is, provide an answer of the form 0.abc where each of a, b, and c are single digits.

Answer 1

Ans:

Use binomial distribution with n=10 and p=0.2

P(x=k)=10C_k*0.2^k*(1-0.2)^10-k

P(x=2)=10C₂*0.2²*0.8⁸

=0.302