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A company sells $40-\text{pound}$ bags of wood pellets. The expected number of bags they deliver to an individual house is $100\text{ bags}$ with a standard deviation of $8.25$. The cost of the company for this trip is modeled by:

$$Y=1.4X+ 150$$

...where $Y$ represents the cost, and $X$ represents the number of bags of wood pellets.

What is the mean and standard deviation of $Y$?

A

The mean is $\$1{,}400$ and the standard deviation is $\$11.55$.

B

The mean is $\$1{,}400$ and the standard deviation is $\$161.55$.

C

The mean is $\$1{,}550$ and the standard deviation is $\$8.25$.

D

The mean is $\$1{,}550$ and the standard deviation is $\$11.55$.

E

The mean is $\$1{,}550$ and the standard deviation is $\$161.55$.

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