Refer to Exercise 3.92. What is the probability that the third non-defective engine will be found
a on the fifth trial?
b on or before the fifth trial?
Ten percent of the engines manufactured on an assembly line are defective. If engines are randomly selected one at a time and tested, what is the probability that the first non-defective engine will be found on the second trial?
Step 1 of 2
a) We have to find the probability of finding 3rd non-defective engine in the fifth trial
Given that 10% of the engines are defective
And 90% of the engines are non defectives
The pmf of negative binomial distribution for n trials, given k success is
Hence the probability of finding 3rd non-defective engine in the fifth trial is 0.04374