After recording the maximum distance possible when driving a new electric car, the study showed the distances followed a normal distribution. the mean distance is 134 miles and the standard deviation is 4.8 miles. find the probability that in a random test run the car will travel a maximum distance between 125 and 135 miles. a. 0.5531 b. 0.3867 c. 0.5832 d. 0.0301

The correct answer is A) 0.5531.

We find the z-score associated with each of these values using the formula
z = (X-μ)/σ

z = (125-134)/4.8 = -9/4.8 = -1.875 ≈ -1.88

Using a z-table (http://www.z-table.com), we see that the area under the curve to the left of, less than, this is 0.0301.

z = (135-134)/4.8 = 1/4.8 = 0.2083 ≈ 0.21

Using a z-table (http://www.z-table.com), we see that the area under the curve to the left of, less than, this is 0.5832.

We want the area between them, so we subtract:
0.5832-0.0301 = 0.5531