There are approximately 11,000 fish in a lake. Each fish has a 1 in 5500 chance of

Question:

There are approximately 11,000 fish in a lake. Each fish has a 1 in 5500 chance of being albino. Let X be the number of albino fish.
a. What is the expected number of albino fish in the lake?
b. What is the approximate probability that there will be exactly 4 albino fish in the lake?
c. Given that there are at least 2 albino fish in the lake, what is the probability that there are exactly 4?