3. The fire marshal's office must inspect, on average, three buildings per day to meet regulatory
requirements. Suppose the average number of buildings inspected per day is known to be 2.6.
Suppose a building being inspected is independent per day with constant probability.
a. What does the random variable X represent?
X = number of buildings inspected per day by
fire marshal's office.
b. What are the possible values of the random variable X? X = 0, 1, ..., 4
c. What is the distribution of the random variable X? X ~ POIS(2.6)
d. Use the PMF to find the probability that the fire marshal's office meets, but does not exceed,
regulatory requirements.
P(X >= 3) = 1 - P(X < 3) = 1 - 0.80088036 = .139
e. Use the CDF to find the probability that the fire marshal's office exceeds regulatory requirements.
(For parts d and e, you must show your work to verify that you used the requested method).
(0.09 = 59/60, 89/100 = 59/60)
that happen at an assembly plant is inde-
