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Random variable A is normally distributed with a mean of $20$ and a standard deviation of $5$. Random variable B is normally distributed with a mean of $35$ and a standard deviati​on of $12$. If A and B are independent variables which of the following describes the distribution of A $-$ B?

A

Normal with a mean of$ -15$ and a standard deviation of $-7$.

B

Normal with a mean of $-15$ and a standard deviation of $13$.

C

Normal with a mean of $-15$ and a standard deviation of $17$.

D

Normal with a mean of $15$ and a standard deviation of $-7$.

E

Normal with mean of $15$ and a standard deviation of $17$.

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