# Question

The Toyota Prius hybrid car is estimated to get an average of 50 miles per gallon (mpg) of gas. However, the gas mileage varies from car to car due to a variety of conditions, driving styles, and other factors and has been reported to be as high as 70 mpg. Suppose that the distribution of miles per gallon for Toyota Prius hybrid cars has a mean of 50 mpg and a standard deviation of 5.9 mpg. Find the probability that the average miles per gallon for 38 randomly selected Prius hybrid cars is

a. More than 51.5

b. Between 48 and 51

c. Less than 53

d. Greater than the population mean by 2.5 or more

a. More than 51.5

b. Between 48 and 51

c. Less than 53

d. Greater than the population mean by 2.5 or more

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