SOLUTION: 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 45 miles and a s

Question 1159287: 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 45 miles and a standard deviation of 7 miles. Find the probability of the following events
A. The car travels more than 53 miles per gallon.
B. The car travels less than 37 miles per gallon.
C. The car travels between 37 and 48 miles per gallon.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
z> (53-45)/7 or >1.143 with probability 0.1265
fewer than 37 miles is z < (37-45) or <-1.143 or probability 0.1265 (the function is symmetrical)
between 37 and 48 is z between -1.143 and + 0.429 probability is 0.5393
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