After completing an inventory of three warehouses, a golf club shaft manufacturer described its stock of 12,246 shafts with the percentages given in the table. Suppose a shaft is selected at random from the 12,246 currently in stock, and the warehouse number and type of shaft are observed. Find the probability that the shaft was produced in a warehouse other than warehouse 1. Round the the nearest hundredth. Regular Stiff Extra Stiff 1 19% 8% 18% Warehouse 2 14% 8% 10% 3 5% 18% 0%
Unitary Method
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Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
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Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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![**Educational Content: Calculating Probabilities from a Table**
In this exercise, we'll explore how to calculate probabilities from given data. Examine the scenario below:
**Scenario:**
After completing an inventory of three warehouses, a golf club shaft manufacturer described its stock of 12,246 shafts with the percentages shown in the table. Suppose a shaft is selected at random from the 12,246 currently in stock, and the warehouse number and type of shaft are observed. We are tasked with finding the probability that the shaft was produced in a warehouse other than Warehouse 1. Our answer should be rounded to the nearest hundredth.
**Data Table:**
| Warehouse | Regular | Stiff | Extra Stiff |
|-------------|---------|-------|-------------|
| 1 | 19% | 8% | 18% |
| Warehouse 2 | 14% | 8% | 10% |
| 3 | 5% | 18% | 0% |
**Options:**
- A. 0.45
- B. 0.38
- C. 0.72
- D. 0.55
**Calculating the Probability:**
To find the probability that a shaft was produced in either Warehouse 2 or Warehouse 3 (rather than Warehouse 1), add the percentages of shafts produced from these warehouses across all types (Regular, Stiff, and Extra Stiff).
Calculate:
- Total percentage from Warehouse 2: 14% + 8% + 10% = 32%
- Total percentage from Warehouse 3: 5% + 18% + 0% = 23%
Add these totals to find the probability that a shaft came from a warehouse other than Warehouse 1:
- Probability = 32% + 23% = 55%
Thus, the correct answer is:
- D. 0.55 (rounded to the nearest hundredth)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2b0fd2e-7313-40ae-aeec-a6f3ed3ace1a%2F1302790f-e47e-4209-86ef-c1c6c38c6323%2Fguxkumg_processed.png&w=3840&q=75)
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