Question

# 15. A new car that is a gas- and electric-powered hybrid has recently hit the market....

15.

A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 5 miles. Find the probability of the following events:
Be sure to use at least 4 decimals of accuracy in your answers.,

A. The car travels more than 71 miles per gallon.

Probability =

B. The car travels less than 61 miles per gallon.

Probability =

C. The car travels between 58 and 68 miles per gallon.

Probability =

16.

Assume Z is a standard normal random variable.

(a) Find the Z score such that the area under the standard normal curve to the left of Z is 0.5
z =

(b) Find the Z score such that the area under the standard normal curve to the left of Z is 0.9826
z =

(c) Find the Z score such that the area under the standard normal curve to the right of Z is 0.1423
z =

(d) Find the Z score such that the area under the standard normal curve to the right of Z is 0.9394
z =

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