Answer: The mean number of checks written per day ![=0.3452](https://tex.z-dn.net/?f=%3D0.3452)
Standard deviation![=0.5875](https://tex.z-dn.net/?f=%3D0.5875)
Variance ![=0.3452](https://tex.z-dn.net/?f=%3D0.3452)
Step-by-step explanation:
Given : The total number of checks wrote by person in a year = 126
Assume that the year is not a leap year.
Then 1 year = 365 days
Let the random variable x represent the number of checks he wrote in one day.
Then , the mean number of checks wrote by person each days id=s given by :-
![\lambda=\dfrac{126}{365}\approx0.3452](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7B126%7D%7B365%7D%5Capprox0.3452)
Since , the distribution is Poisson distribution , then the variance must equal to the mean value i.e. ![\sigma^2=\lambda=0.3452](https://tex.z-dn.net/?f=%5Csigma%5E2%3D%5Clambda%3D0.3452)
Standard deviation : ![\sigma=\sqrt{0.3452}=0.5875372328\approx0.5875](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B0.3452%7D%3D0.5875372328%5Capprox0.5875)
The same as the greatest number that can be written
with 10 binary bits: <u>1,024</u>
The answer would be:
93
+75
-------
168