Last year, a person wrote 123 checks. let the random variable x represent the number of checks he wrote in one day, and assume that it has a poisson distribution. what is the mean number of checks written per day? what is the standard deviation? what is the variance?

The mean number of checks written per day = 0.3370

The standard deviation = 0.5805

The variance = 0.3370

Step-by-step explanation:

Let the random variable x represent the number of checks he wrote in one day.

Given : The number of checks written in last year = 123

Let the number of days in the year must be 365.

Now, the mean number of checks written per day will be  :-

We know that in Poisson distribution , the variance is equals to the mean value .

Thus,  Standard deviation = 0.5805

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step-by-step explanation: