probability question

Question

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 = $633 and standard deviation 𝜎 = $45.

(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 0.10? (Round your answer to the nearest dollar.)

Answer 1

Hi Brandon,

(a) Find the z-score for $646. Then use your z-score table accordingly to find the required area. If you are allowed to use a calculator that has the capability for z score, please use it.

(b)This time you are given the z-score and you have to use the same formula as you would in part (a) to find the random variable.

Solve the 2 parts and enter your answer in the comment. i will be happy to take a look at it in about an hour from now.