Phone Calls Problem

a. if they get 1 phone call every 2 minutes, then they'll get 30 calls/hour

b. P(3 calls in 5 minutes)

In 5 minutes, the mean number of calls is 2.5

P(x=3) = (2.5^3 * e^-2.5) / 3!

c. P(0 calls in 5 minutes)

In 5 minutes, the mean number of calls is 2.5

P(x=3) = (2.5^0 * e^-2.5) / 0!

Airline Passengers Problem

P(x) = (m^x * e^-m) / x!

m = 10/minute

a. P(0) = (10^0 * e^-10) / 0!

b. P(3 or fewer) = P(0) + P(1) + P(2) + P(3)

c. If they get 10/minute, then the mean for 15 seconds is 2.5

P(0) = (2.5^0 * e^-2.5) / 0!

d. Subtract your answer in c. from 1