Question: A sample of 7 randomly selected light bulbs was taken from a bin containing 10000 bulbs and inspected without replacement. Previous samples indicate that about 95% of such bulbs meet the customer’s specifications. Given this, find the following.

a) That the sample has exactly 2 bulbs which meet the customer’s specifications.

b) That the sample has at most 2 bulbs which meet the customer’s specifications.

c) That the student answers at least 3 bulbs which meet the customer’s specifications.

d) What are the mean number of bulbs which meet the customer’s specifications in such samples of size 7? What are the variance and standard deviation?