The probability that the company will receive 3 calls in a 12 minute period is 0.2225
X ≈ Poisson (λ)
computer helpline receives
Where λ is 14 calls per 60 minutes
so for 12minutes λ = 12(14/60) = 2.8
Poisson probability distribuition is
P(X) = e^(-λ) x λˣ/X!
probability that the company will receive 3 calls in a 12 minute period
P(X = 3 ) = e^-2.8 x 2.8³/3!
=0.2225
Therefore, if a computer helpline receives, on average, 14 calls per hour asking for assistance, then the probability that the company will receive 3 calls in a 12 minute period is 0.2225
To learn more about poisson distribution refer here
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