Suppose X, the number of flaws in a roll of polyethylene insulated cable, follows a Poisson process where ? is 1.1 flaws per 4-meter length of cable.
a) What is the probability a roll of cable 16 meters in length has less than three flaws?
b) What is the probability a roll of cable 32 meters in length has exactly 5 flaws?
c) What is the expected number of flaws in a roll of cable 32 meters in length?
d) What is the standard deviation of the number of flaws in a roll of cable 32 meters in length?