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The random variable $X$ is normally distributed with mean $28$ and standard deviation $9$. The random variable $Y$ is defined by $Y=4X-7$.

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

A

The mean is $105$ and the standard deviation is $9$.

B

The mean is $105$ and the standard deviation is $29$.

C

The mean is $105$ and the standard deviation is $36$.

D

The mean is $112$ and the standard deviation is $29$.

E

The mean is $112$ and the standard deviation is $36$.

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