30 ! 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. 0.3867 b. 0.5832 c. 0.5531 d. 0.0301

Option C is correct.

The probability of maximum distance between 125 and 135 miles is , 0.5531

Step-by-step explanation:

Let X be the distance traveled by car between 125 and 135 miles.

Also, given: The mean distance() = 134 miles and the standard deviation() = 4.8 miles.

To calculate the Probability that in a random test rum the car will travel a maximum distance between 125 and 135 miles i.e:

Let

then the corresponding z-values need to be computed are:

and

Therefore, the following is obtained:

= =

=

Now, using Standard Normal distribution table we have:

= 0.5835 - 0.0304=0.5531

Therefore, the probability that in a random test run the car will travel a maximum distance between 125 and 135 miles is, 0.5531.

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