Assignment problem: Pauli is a quality control inspector in a pepperoni factory. On a random day Pauli has a 38% chance of finding 2 edible but deformed pepperoni. He has a 36% chance of finding 3; he has a 22 chance of finding 4 and a 4% chance of finding 5.
a) Find the probability that Pauli will find more than three deformed pepperoni tomorrow.
b) Find the probability that Pauli will find at most two deformed pepperoni tomorrow.
c) Compute the mean of X. Interpret the mean in the context of the problem.