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Take Test: HM3 Test Information Description Instructions Multiple Attempts This test allows 2 attempts. This is attempt number 1 Force Completion This test can be saved and resumed later. Question Completion Status Moving to another question will save this response. Question 5 of 16. Question 5 10 pointsSave Answer If the random variable, X, has a Poisson distribution with a mean of 4 events per minute, the mean number of events per hour is: Moving to another question will save this response. Question 5 of 16

Explanation / Answer

We are given that,

The random variable X denotes the number of events per minute. is the mean number of events.

here =4

Poisson distribution is,

P(X = x) = f (x) =( (e )^x) /x! , x= 0, 1, 2,.......

Let N denote the number of events in an x-minute time interval in a Poisson process with a parameter of events per minute.

Then,

N Poisson (x).

The number of events during a fixed time interval of x-minutes has a Poisson distribution with mean of x.

we are already given that =4 for x=1.

now we have to find mean no. of events per hour.

hence x would be x=60.

Mean=x =4*60

Mean= 240.

Hence, Mean number of events per hour is 240.

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