When Driving the Nation's Highways, Anna Is Known as Something $$F = 10 ( \text { MilesOver } ) + 112$$

Essay

When driving the nation's highways, Anna is known as something of a lead foot. Her
number of miles per hour over the speed limit varies, but has a mean of 7.5 mph and
standard deviation of 2 mph. Unfortunately her state adjusts the fines so that the
amount of the fine (in dollars) is given by the formula: $$F = 10 ( \text { MilesOver } ) + 112$$ where F is the amount of the fine, and MilesOver is the number of miles over the
speed limit. Let random variable F be the amount of her fine if she is stopped for
speeding.
a) What is the mean of F?
b) What is the standard deviation of F?