SOLUTION: Suppose you work at the Wesco distribution center in Cranberry and you are the Industrial Engineer in charge of operations. You need to decide how many shelving unit storage locati

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose you work at the Wesco distribution center in Cranberry and you are the Industrial Engineer in charge of operations. You need to decide how many shelving unit storage locati      Log On


   

Question 701960: Suppose you work at the Wesco distribution center in Cranberry and you are the Industrial Engineer in charge of operations. You need to decide how many shelving unit storage locations to allocate to an electronic switchbox. The switchbox comes in a cardboard carton and you can fit 10 of these cartons onto one shelving unit. Currently shipments arrive following a Normal distribution with a mean of 80 cartons per month and a standard deviation of 7 cartons per month. Assume that the switchboxes arrive during the first week of the month and then are shipped out during the last three weeks of the month.
What is the probability that more than 88 cartons arrive in at least 5 of the next 6 months
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Currently shipments arrive following a Normal distribution with a mean of 80 cartons per month and a standard deviation of 7 cartons per month. Assume that the switchboxes arrive during the first week of the month and then are shipped out during the last three weeks of the month.
What is the probability that more than 88 cartons arrive in at least 5 of the next 6 months
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1st: Determine the probability of more than 88 cartons arriving.
z(88) = (88-80)/7 = 8/7
P(x > 88) = P(z > 8/7) = 0.1265
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2nd: P(this happens at 5 of next 6 months)
= 1 - binomcdf(6,0.1265,4)
= 0.00017387
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Cheers,
Stan H.
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