# statistics

posted by Ash

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".

1. Ash

I need help for this question asap thanx

2. PsyDAG

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.

## Similar Questions

1. ### statistics

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

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: …
3. ### math

week 1 3 miles week 2 7 miles week 3 11 miles week 4 15 miles sophia predicted that jhon will run 32 miles during 9th week. use words symbols or numbers to explain wether sophia's prediction is correct
4. ### statistics

16. Based on tests of the Chevrolet Cobalt, engineers have found that the miles per gallon in highway driving are normally distributed, with a mean of 32 miles per gallon and a standard deviation 3.5 miles per gallon
5. ### statistics

A university wants to estimate the average distance that commuter students travel to get to class with an error of ±3 miles and 90 percent confidence. What sample size would be needed, assuming that distances are normally distributed …
6. ### Math Probability

Super stumped... Help please. The average distance geese fly south in the winter is approximately 380 miles with a standard deviation of 60 miles. Assuming that the distances are normally distributed, find the probability that a randomly …
7. ### Statistics

According to internal testing done by the Get-A-Grip tire company, the lifetime of tires sold on new cars is normally distributed with a mean of 23,000 miles, with a standard deviation of 2500 miles. If the claim by Get-A-Grip is true, …
8. ### statistics

The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. What percentage score above 1300?
9. ### math

last week, Mr thomas rode his bike 49 miles. this week mr. Thomas rode 14 miles less than he did last week.Mr thomas rode the same distance each of the 7 days this week. write an equation to find the number of miles,m, he rode each …
10. ### statistics

The distance travelled in a week by sales staff employed by a nationwide security firm is approximately normally distributed with a mean of 200 miles and standard deviation of 48 miles. a) less than 80 miles, b) more than 250 miles, …

More Similar Questions