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the amount of money spent weekly on cleaning, maintenance, andrepairs at a large

ID: 2919162 • Letter: T

Question

the amount of money spent weekly on cleaning, maintenance, andrepairs at a large restaurant was observed over a long period oftime to be approximately normally distributed, with mean of $615and standard deviation of $42.
b.) how much should be budgeted for weekly repairs, cleaning,and maintenance so that the probability that the budgeted amountwill be exceeded in a given week is only 0.10?
b.) how much should be budgeted for weekly repairs, cleaning,and maintenance so that the probability that the budgeted amountwill be exceeded in a given week is only 0.10?

Explanation / Answer

Given X~Normal(=615, =42) P(x>c)=0.1 -->P((x-)/ > (c-)/) =0.1 --> P(Z> (c-)/) =0.1 --> (c-615)/42 =1.282 (check normal table) --> c = 615+42*1.282 =668.844