If 10 of these eco-cars are randomly selected from this population, what is the probability the mean MPG will be between 30.12 mpg and 32.27 mpg?

ASSIGNMENT

Given: MPG (mile per gallon Fuel efficiency) of a certain model eco-car is normally distributed with mean of 31.1 and standard deviation of 1.245.

Round answers to nearest thousandth and keep in decimal format. Give full solution for each of these parts (and note the start to Part A, versus the start of Part B) in this ESSAY box formatted question.

Part A: If one eco-car is randomly selected from this population, what is the probability the fuel efficiency will be at least 31.13? (re-read directions to make sure your typed solution is complete).

Part B: If 10 of these eco-cars are randomly selected from this population, what is the probability the mean MPG will be between 30.12 mpg and 32.27 mpg? (re-read directions to make sure your typed solution is very complete).