SOLUTION: a corporation's fleet of cars has an annual operating cost of $100,000. suppose the operating cost are normally distributed with a standard deviation of 100. a. what is the operat

Algebra.Com
Question 694408: a corporation's fleet of cars has an annual operating cost of $100,000. suppose the operating cost are normally distributed with a standard deviation of 100.
a. what is the operating cost below which only 25% of the operating cost lies?
b. what is the operating cost above which 55% of the operating costs lie?
c. what is the operating cost would be more than 75% of operating cost?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
a corporation's fleet of cars has an annual operating cost of $100,000. suppose the operating cost are normally distributed with a standard deviation of 100.
a. what is the operating cost below which only 25% of the operating cost lies?
Find the z-value with a left tail of 0.25:: invNorm(0.25) = -0.6745
Solve for cost using x = z*s+u
x = -0.6745*100+100,000
x = $99932.55
-------------------------------
b. what is the operating cost above which 55% of the operating costs lie?
Find the z-value with a left tail of 0.45:: invNorm(0.45) = -0.1257
x = -0.1257*100+100,000
x = $99987.43
===================================
c. what is the operating cost would be more than 75% of operating cost?
I'll leave that to you.
Cheers,
Stan H.
=================

RELATED QUESTIONS

A corporation’s fleet cars have an average annual operating cost of $100,000. Suppose the (answered by Theo)
A real estate company has a fleet of cars. The annual operating cost per car is C = 0.2m... (answered by macston)
Operating Cost: A delivery company has a fleet of vans. The annual operating cost C (in... (answered by Cromlix)
A fabrication company engaged in production with a capacity of 150, 000 pieces per year.... (answered by ankor@dixie-net.com)
Suppose that in the preceding problem a new airplane P3 becomes available, having an... (answered by ikleyn)
Word Problem: If the manufacturing cost of a pair of slacks is $10/pair and your... (answered by 303795)
An equipment costs 50,000 pesos. It will have an annual operating cost of 20,000 pesos... (answered by CPhill)
Compute for budgeted income statement of XYZ Corporation. Below are the data of XYZ... (answered by ikleyn)
The management of hartman rent a car has allocated $1.5 million to buy a new fleet of... (answered by Theo)