Question: The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound shaped and symmetric with mean \[\mu =25.9\] mpg and standard deviation \[\sigma =9.5\] mpg. If 30 such cars are tested, what is the probability the average mpg \[\bar{x}\] is

(a) less than 23 mpg.

(b) More than 28 mpg.

(c) Between 23 mpg and 28 mpg.