Question

Suppose that the number of persons using an ATM in any given hour between 9 a.m....

Suppose that the number of persons using an ATM in any given hour between 9 a.m. and 5 p.m. can be modeled by a Poisson distribution with a mean of 12. In this case, the “unit of measure” is an hour of time during the business day. Let X be the number of periods who use the ATM in a given hour.

What is the standard deviation of the random variable X, i.e., the standard deviation of this Poisson distribution?

Express your answer to 2 decimal places of accuracy.

Math   Statistics-And-Probability   
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Answer #1

ANSWER::

Given that,

The mean of the poisson distribution is 12 .

= 12

The mean and variance of the poisson distribution is the same .

= 2 = 12

The standard deviation of this Poisson distribution

= 12

= 3.46

The standard deviation of this Poisson distribution = 3.46

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