Jan 16-Winter 2018 PrinciplRunning an Independent Samplet N Nigel Beauy www weba

Question

Jan 16-Winter 2018 PrinciplRunning an Independent Samplet N Nigel Beauy www webassg t -Responses 90% a search My normally distributed, with The amount of money spent weeidy on leaning, mainte e35 and standard deviation e-S39. enance, and repairs at a large restaurant was observed over a kong period of time to be f $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four (b) Now much should be budgeted for weeky repars, deaning, and maintenance so that the probability that the your answer to the nearest dolar.) budgeted amount will be oiresded in a gpen wiqak Sub Anwe Sae Progress Practice oater vesion DOLL

Explanation / Answer

mean = 635 , sd = 39
a)
P(X > 646)
=P(Z > (646 - 635)/39))
= P(Z > 0.2820512 )
= 0.389

b) assumin it is 0.107 (it is covered by colour )
other change z* accordingly
P(Z > z*) = 0.107
z* = 1.243
X = mean + z* sd
= 635 + 1.243* 39
= 683.477

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