Answer:
The probability that exactly two are defective given that the number of defective bulbs is two or fewer is 0.4040.
Step-by-step explanation:
Let X be the number of defective bulbs.
Where n is sample size and p is probability of success.
According to the given information,
According to binomial distribution the probability of exactly r success from n is
The probability that exactly two are defective is
The probability that the number of defective bulbs is two or fewer is
We have to find the probability that exactly two are defective given that the number of defective bulbs is two or fewer.
According to the conditional probability
Therefore the probability that exactly two are defective given that the number of defective bulbs is two or fewer is 0.4040.