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

question 27

Essay

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?

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Definitions:

Neonates

Newborn babies, especially within the first month after birth.

Zygotes

The initial cell formed when a sperm cell fertilizes an egg cell, marking the beginning of human development.

Fetuses

The term used to describe a developing human from roughly eight weeks after conception until birth.

Embryos

An embryo refers to the early stages of development in many organisms, following fertilization and during which vital organs and structures begin to form.