Telephone calls arrive at an information desk at a rate of 1

Telephone calls arrive at an information desk at a rate of 10 per hour.

a.) What is the probability that the next call will arrive within 3 minutes (0.05 Hour)?

b.) What is the probability that the next call will arrice within 18 minutes (0.3 Hour)?

Solution

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old question

Telephone calls arrive at the information desk of a larger computer software company at the rate of 15 per hour.
A) What is the probability that the next call will arrive within 3 minutes (0.05 hour)?
B) What is the probability that the next call will arrive within 15 minutes(0.25 hour)?   

answers

P(arrival time < 0.05) = 1 - e^-0.05*15 = 0.5276

p(arrival time<0.25) = 1 - e^-0.25*15 = 0.9765