2 Probabilities Questions (statistics)

Question 1

Heights of adult women in the United States are normally distributed with a population mean of μ  = 63.5 inches and a population standard deviation of σ  = 2.5.  A medical researcher is planning to select a large random sample of adult women to participate in a future study. What is the standard value, or z-value, for an adult woman who has a height of 68.5 inches?

Question 2

An automobile manufacturer introduces a new model that averages 27 miles per gallon in the city. A person who plans to purchase one of these new cars wrote the manufacturer for the details of the tests, and found out that the standard deviation is 3 miles per gallon. Assume that in-city mileage is approximately normally distributed. 

What is the probability that the person will purchase a car that averages less than 20 miles per gallon for in-city driving?

What is the probability that the person will purchase a car that averages between 25 and 29 miles per gallon for in-city driving?