Question

Let x = the average gas mileage a particular vehicle gets on the highway on a randomly selected road trip. suppose that x is approximately normal with a mean of 23.2 miles per gallon and a standard deviation of 4.6 miles per gallon. find the probability that the vehicle averages at least 30 miles per gallon on a randomly selected road trip. responses 0.0668 0.0668 0.0697 0.0697 0.9303

Answer 1

To find the probability, calculate the z-score and find the area under the normal distribution curve.

Step-by-step explanation:

To find the probability that the vehicle averages at least 30 miles per gallon on a randomly selected road trip, you need to calculate the z-score and then find the area under the normal distribution curve.

First, calculate the z-score using the formula:

z = (x - mean) / standard deviation

For x = 30, mean = 23.2, and standard deviation = 4.6, the z-score is:

z = (30 - 23.2) / 4.6 = 1.4783

Next, use a standard normal distribution table or a calculator to find the probability associated with the z-score. The probability that the vehicle averages at least 30 miles per gallon is approximately 0.0697.