Sunita's job is to provide technical support to computer users.Suppose the arrival of calls can be modeled by a Poisson distribution with a mean of 5.6 calls per hour.What's the probability that in the next 10 minutes there will be no calls?
A)0.3670
B)0.6068
C)0.3932
D)0.0037
E)0.0207

Question

Quizplus · Accepted Answer

We need to find the probability of no calls in the next 10 minutes, which is equivalent to the probability of 0 calls in 1/6th of an hour (10 minutes is 1/6th of an hour). 
The number of arrivals in 10 minutes can also be modeled by a Poisson distribution with a mean of λ = (5.6/60) * 10 = 0.9333.
Thus the probability of no calls in the next 10 minutes is:
P(0) = e^(-0.9333) * 0.9333^0 / 0! 
P(0) = 0.3932 (rounded to four decimal places)

Therefore, the best choice is C.

Sunita's Job Is to Provide Technical Support to Computer Users