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 = $597 and standard deviation σ = $39.

(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?

Question

Leanna Dougherty

Mathematics

14 September, 21:14

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 = $597 and standard deviation σ = $39.

(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?

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Answers (1)

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Titus Cochran · Answer 1

Z = (X - Mean) / SD

z = (646 - 597) / 39

z = 49/39 = 1.25

With the z-score table:

for z = 1.25, p = 0.8944 (probability that the cost will be lower than $646)

1 - 0.8944 = 0.1056

Answer: The probabilit y is 0.1056