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19 Aug 2024, 02:56
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Dropdown 1: 0.1875
Dropdown 2: 0.125
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
72% (02:29) correct
28%
(02:26)
wrong
based on 1573
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A particular manufacturing company has exactly two manufacturing plants–Plants A and B. A consultant, using data about the company's past performance and a particular model, calculated the probability of various outcomes when the company has promised to manufacture an order consisting of a greater number of units than could be produced only at the main plant, Plant A. Those probabilities are shown in the chart.
Select from each drop-down menu the opfon that creates the statement that most accurately reflects the information given.
The chart indicates that, for an order selected at random from those consisting of more units than could be produced by Plant A, the probability that the company's profit per unit on that order was within $1 of the average is equal to the sum of and .
A particular manufacturing company has exactly two manufacturing plants–Plants A and B. A consultant, using data about the company's past performance and a particular model, calculated the probability of various outcomes when the company has promised to manufacture an order consisting of a greater number of units than could be produced only at the main plant, Plant A. Those probabilities are shown in the chart.
Select from each drop-down menu the opfon that creates the statement that most accurately reflects the information given.
The chart indicates that, for an order selected at random from those consisting of more units than could be produced by Plant A, the probability that the company's profit per unit on that order was within $1 of the average is equal to the sum of and .
ID: 700357
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Official Answer
Dropdown 1: 0.1875
Dropdown 2: 0.125
21 Aug 2024, 05:27
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[Left hand side] 0.75 x 0.25 = 0.1875
[Right hand side] 0.25 x 0.50 = 0.125
Add LHS + RHS to get the probability that the company's profit per unit on that order was within $1 of the average
[Right hand side] 0.25 x 0.50 = 0.125
Add LHS + RHS to get the probability that the company's profit per unit on that order was within $1 of the average
20 Sep 2024, 08:39
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1. The problem asks us to find the probability (and represent it as a sum) that the company's profit per unit on that order was within $1 of the average based on an order consisting of more units than could be produced by Plant A.
2. We are given a graph and are asked the probability to get from the top point to the bottom point.
3. There are two paths to get there. Path 1 goes through "Manufactured all units for the order at Plants A and B" - this has a probability of \(0.75 * 0.25 = 0.1875\). Path 2 goes through "Subcontracted with outside firm to manufacture some units for the order" - this has a probability of \(0.25 * 0.25 = 0.125\).
4. The probability we need to find is equal to 0.1875 + 0.125. Since these two numbers can be both selected, our answer will be 0.1875 and 0.125.
2. We are given a graph and are asked the probability to get from the top point to the bottom point.
3. There are two paths to get there. Path 1 goes through "Manufactured all units for the order at Plants A and B" - this has a probability of \(0.75 * 0.25 = 0.1875\). Path 2 goes through "Subcontracted with outside firm to manufacture some units for the order" - this has a probability of \(0.25 * 0.25 = 0.125\).
4. The probability we need to find is equal to 0.1875 + 0.125. Since these two numbers can be both selected, our answer will be 0.1875 and 0.125.
