Question

The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was...

The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $629 and standard deviation σ = $44.

(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
  

(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.15? (Round your answer to the nearest dollar.)

Homework Answers

Answer #1

Let "X" be the amount of money spent.

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(0.3864, TRUE)" to find the probability.

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Refer Standard normal table/Z-table, Lookup for Z-value corresponding to area 0.15 to the right of the normal curve or use excel formula "=NORM.S.INV(0.15)" to find the Z-value.

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