When driving the nation's highways Anna is known as something of a lead foot. The 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, the state in which she goes to college adjusts the fines so that the amount of the fine is given by the formula: F = 10(MPH) + 112, where F is the amount of the fine, and MPH is the number of miles over the speed limit. Let random variable F be the amount of her fine if she is randomly stopped for speeding.
a) What is the mean of F?
b) What is the standard deviation of F?

Question

When driving the nation's highways Anna is known as something of a lead foot. The 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, the state in which she goes to college adjusts the fines so that the amount of the fine is given by the formula: F = 10(MPH) + 112, where F is the amount of the fine, and MPH is the number of miles over the speed limit. Let random variable F be the amount of her fine if she is randomly stopped for speeding. 
a) What is the mean of F? 
b) What is the standard deviation of F?

Quizplus · Accepted Answer

The Answer of When driving the nation's highways Anna is known as something of a lead foot. The 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, the state in which she goes to college adjusts the fines so that the amount of the fine is given by the formula: F = 10(MPH) + 112, where F is the amount of the fine, and MPH is the number of miles over the speed limit. Let random variable F be the amount of her fine if she is randomly stopped for speeding. 
a) What is the mean of F? 
b) What is the standard deviation of F?

When Driving the Nation's Highways Anna Is Known as Something