The weekly amount of money spent on maintenance and

Chapter 4, Problem 64E

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QUESTION:

The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $400 and standard deviation $20. If $450 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?

a  Answer the question, using Table 4, Appendix 3.

b  Applet Exercise Use the applet Normal Probabilities to obtain the answer.

c  Why are the labeled values different on the two horizontal axes?

Questions & Answers

QUESTION:

The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $400 and standard deviation $20. If $450 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?

a  Answer the question, using Table 4, Appendix 3.

b  Applet Exercise Use the applet Normal Probabilities to obtain the answer.

c  Why are the labeled values different on the two horizontal axes?

ANSWER:

Solution:

Step 1 of 4:

It is given that the money spent on maintenance and repair in a week has a Normal distribution with mean $400 and standard deviation $20.

The amount budgeted for the coming week is $450.

We need to find the probability of weekly budget exceeding $450.


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