3. Each week a garment factory makes one production run of their popular tie-dyed cheesecloth under-shirts. The size of the run is either 5,000, 6,000, 8,000 or 10,000 undershirts, based on field sale reports of projected demand. Although demand fluctuates considerably, the long-term market for the undershirts has held up well for many months. The probability distribution based on the factory experience is: X 5,000 P(X) 0.3 0.4 a) If the profit on each undershirt is $2.75, What is the expected weekly profit? 5,000.0.3+ 6,000.0.4+ 10,000.0.1 +8,000 -1.5 (341fe 6,000 V1200 = 3 8,000 10,000 2 = 4,900 1200 -3 b) What is standard deviation of the number of undershirts weekly? 0.1
3. Each week a garment factory makes one production run of their popular tie-dyed cheesecloth under-shirts. The size of the run is either 5,000, 6,000, 8,000 or 10,000 undershirts, based on field sale reports of projected demand. Although demand fluctuates considerably, the long-term market for the undershirts has held up well for many months. The probability distribution based on the factory experience is: X 5,000 P(X) 0.3 0.4 a) If the profit on each undershirt is $2.75, What is the expected weekly profit? 5,000.0.3+ 6,000.0.4+ 10,000.0.1 +8,000 -1.5 (341fe 6,000 V1200 = 3 8,000 10,000 2 = 4,900 1200 -3 b) What is standard deviation of the number of undershirts weekly? 0.1
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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3. Each week a garment factory makes one production run of their popular tie-dyed cheesecloth
under-shirts. The size of the run is either 5,000, 6,000, 8,000 or 10,000 undershirts, based on
field sale reports of projected demand. Although demand fluctuates considerably, the long-term
market for the undershirts has held up well for many months. The probability distribution based
on the factory experience is:
X
6,000 8,000
10,000
5,000
0.3
P(X)
0.4
a) If the profit on each undershirt is $2.75, What is the expected weekly profit?
5,000.0.3+ 6,000·0.4 + 10,000.0.1 +8,000.0
1200
2
·3⁰
= 4,900
b) What is standard deviation of the number of undershirts weekly?
√1200 = 34
0.1
me
Learn. Organ
-1.5
Assembler
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