A new car that is a gas and electricpowered hybrid has recen

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 8 miles. Find the probability of the following events:

A. The car travels more than 73 miles per gallon.

Probability =

B. The car travels less than 57 miles per gallon.

Probability =

C. The car travels between 57 and 73 miles per gallon.

Probability =

Solution

A. P (X>73)=0.1587

B.P (X<57)=0.1587

C.P (57<X<73)=0.6826