i) Random variable is family income in Shs. Y for a given family x. This is a discrete variable.
ii) Family size in number z for a given family x. This is a discrete variable.
iii) Distance from home to store site w in kilometers for a given family x. This is a continuous variable.
iv) Own dog/cat or not for a given family x. This is discrete.
Mutiso answered the question on December 14, 2018 at 13:37
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Date posted: December 14, 2018. Answers (1)
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Date posted: December 14, 2018. Answers (1)
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P (Company will pass test/no shortage) = 0.90
P (Company will pass test/small shortage) = 0.50
P (Company will pass test/large shortage) = 0.20
Required:
i) Determine the probability if a company being audited fails this test has large or small inventory
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ii) If a company being audited passes this test, what is the probability of no inventory shortage?
Date posted: December 8, 2018. Answers (1)
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Date posted: December 8, 2018. Answers (1)
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In each case, explain why you...(Solved)
In each of the following three situations, use binomial, poisson, or normal distribution depending on which is
the most appropriate.
In each case, explain why you selected the distribution and draw attention to any feature which supports or
casts doubt on the choice of distribution.
a) Situation 1:
The lifetimes of a certain type of electrical components are distributed with a mean of 800 hours and
standard deviation of 160 hours.
Required:
i) Identify situation 1.
ii) If the manufacturer replaces all the components that fail before the guaranteed minimum lifetime of
600 hours, what percentage of the components have to be replaced?
iii) If the manufacturer wishes to replace only 1% of the components that have the shortest life, what
value should be used as the guaranteed lifetime?
iv) What is the probability that the mean lifetime of a sample of 25 of these electrical components exceeds 850 hours?
b) Situation 2:
A green grocer buys peaches in large consignments directly from wholesaler. In view of the perishable
nature of the commodity, the green grocer accepts that 15% of the supplied peaches will usually be
unsaleable. As he cannot check all the peaches individually, he selects a single batch of 10 peaches on
which to base his decision of whether to purchase a large consignment or not. If no more than two of
these peaches are unsatisfactory, the green grocer purchases the consignment.
Required:
i) Identify situation 2.
ii) Determine the probability that under normal supply conditions, the consignment is purchased.
c) Situation 3:
Vehicles pass a certain point on a busy single-lane road at an average rate of two per 10 second interval.
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Date posted: December 8, 2018. Answers (1)
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The purchasing department has analysed the number of orders placed by each of the 5 departments in the
company by type of this financial year as given in the table below:
An error has been found in one of these orders.
Required:
i) Determine the probability that the incorrect order was not for consumables.
ii) Determine the probability that the incorrect order came from maintenance or production.
iii) Calculate the probability that the incorrect order was an equipment order from purchase.
Date posted: December 7, 2018. Answers (1)