Question

you have a sampling plan of n = 135, c = 4. An incoming lot of electronics has a Quality level of 6.75%. What is the probability that you will reject this lot?

Question 1 options: 0.9136

0.9297

0.9431

0.9542

Answer 1

Let X be the number of defectives electronics in random sample of 135.

X ~ Binomial(n = 135, p = 0.0675)

probability that you will reject this lot = P(X > 4)

= 1- P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)  - P(X = 4)

= 1 - 0.00008 - 0.0007808 - 0.0037871 - 0.0121534 - 0.02903

= 0.9542