Distance travelled in a week by sales staff employed by nationwide security firm is approximately normally distributed with a mean of 200 miles and standard deviation of 48 miles. Estimate the percentage of staff who in a week travel:

1.
a)less than 80 miles
b)more than 250 miles
c)between 100 and 300 miles
2.A reduced mileage rate is to be introduced which is to be set such that approximately 20% of the sales staff will be affected? What is the maximum miles per week that a member of staff could travel before reaching the reduced mileage rate?
3)
Complete this sentence:
"80% of sales staff travel between ____ and ______ miles each week".

2 answers

I need help for this question asap thanx
1. z = (x - mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores.

Reverse the process for the last two questions.