Question

the newest model of smart car is supposed to get excellent gas mileage. a thorough study showed that gas mileage (measured in miles per gallon) is normally distributed with a mean of 75 miles per gallon and a standard deviation of 10 miles per gallon. you would like to find the probability that, if driven normally, the car will get 80 miles per gallon or better. you are using a z-table to solve the problem. what would you look for in the z-table?

Answer 1

To find the probability that the car will get 80 miles per gallon or better, we need to use the Z-table.

Step-by-step explanation:

To find the probability that the car will get 80 miles per gallon or better, we need to use the Z-table. The Z-score is calculated by subtracting the mean from the given value and dividing by the standard deviation. In this case, the Z-score is (80 - 75) / 10 = 0.5. We need to find the probability to the right of this Z-score in the Z-table, which represents the area under the normal distribution curve. The Z-table will provide the probability value associated with the Z-score of 0.5.