Question

The mean arrival rate to a store is 3 customers every / 30-seconds. What is the...

The mean arrival rate to a store is 3 customers every / 30-seconds. What is the probability that there will be AT LEAST two arrivals over any one minute time interval? Convert your answer to a percentage and round to one decimal place (i.e., 15.2) do not enter % symbol

Math   Statistics-And-Probability   
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Answer #1

solution:

the given information as follows:

the mean arrival rate = 3 customer / 30 sec.

average arrival per minute = 3*2 = 6

so = 6 customer/ minute

we have to find the probability of atleast 2 arrival in one minute inerval =

using poisson distribution formula as follows

= 1 - 0.0025 - 0.0149 = 0.9826 = 98.3%

so answer is 98.3

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