Question

Problem 3-17 (Algorithmic) Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is 5 passengers per minute. a. What is the probability of no arrivals in a 1-minute period? If required, round your answer to six decimal places. .006738 b. What is the probability of 3 or fewer arrivals in a 1-minute period? If required, round your answer to six decimal places .265026 c. What i he probability of no arrivals in a 15-second period? If required, round your answer to four decimal places, d. What is the probability of at least 1 arrival in a 15-second period? If required, round your answer to four decimal places.

Answer 1

C)

u=5/4 = 1.25 per 15 second

x=0

P(0) = e^-1.25

= 0.2865

D)

1 - P(0)

= 1 - 0.2865

= 0.71349