The number of calls coming into a call center follows a Poisson process with a mean of 120 calls per hour. What is the probability of no calls in a one-minute interval?

The probability of no calls in a one-minute interval is 0.1353

Step-by-step explanation:

120 calls per hour gives 120/60 calls per minute.

Mean of calls per minute, λ = 2 calls/minute

Using Poisson distribution formula

P(X=x) = ((e^-λ)(λ⁻ˣ))/x!

For 0 calls in a minute,

P(X=0) = (e^-2)(2⁰)/0! = e(^-2) = 0.1353

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