Simulation of manufacturing time for Bill’s Manifolds Inc
Work the following problem using an Excel Annotate and
highlight the spreadsheet with the answers required below
Bill’s Manifolds, Inc produces made to order special
manifolds for motorcycles The total time from receipt of order until the
customer receives the product consists of two phases: 1) manufacturing time and
2) shipping time Manufacturing Time is a discrete random variable that ranges
from 36 to 72 hours with a distribution as shown below Shipping Time is also a
discrete random variable that ranges from 24 to 72 hours with a distribution as
Manufacturing Time Shipping
X, Hours P(X) X, Hours P(X)
36 014 24 032
48 027 48 045
60 033 72 023
Total Time is the sum of Manufacturing Time and Shipping
a(10) Show the Cumulative Distribution and Random Ranges
for Manufacturing Time and Shipping Time
b(10) Simulate Total Time in Bill’s Manifolds, Inc for 10
c(4) Compute the mean and standard deviation of Total Time
in the shop (Assume Sample)
d(3) If Total Time in the shop is a Normal Random Variable
with the mean and standard deviation that you calculated in d above, what is
the probability that an order will take less than 90 hours to process?
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