Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 38 miles per day. the mileage per day is distributed normally. find the probability that a truck drives between 132 and 159 miles in a day.

0.1824

Step-by-step explanation:

Given : The mileage per day is distributed normally with

Mean :

Standard deviation :  

Let X be the random variable that represents the distance traveled by truck in one day .

Now, calculate the z-score :-

For x= 132 miles per day.

For x= 159 miles per day.

Now by using standard normal distribution table, the  probability that a truck drives between 132 and 159 miles in a day will be :-

Hence, the probability that a truck drives between 132 and 159 miles in a day =0.1824

i need a picure

step-by-step explanation: