Answer:
The probability that the average mileage of the fleet is greater than 33.8 mpg is 0.695
Step-by-step explanation:
The car model has a mean gas mileage of 34 miles per gallon (mpg) with a standard deviation 3 mpg. We want to find the probability that the average mileage of the fleet is greater than 33.8 mpg, if a pizza delivery company buys 59 of these cars.
We calculate the z-score using:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
We substitute [tex]\mu=34,\sigma=3,n=59,x=33.8[/tex]
[tex]z=\frac{33.8-34}{\frac{3}{\sqrt{59} } }[/tex]
[tex]z=-0.52[/tex]
From the standard normal distribution table, P(X>33.8)=0.695
