Suppose that a small company purchases 300 of these 75-watt LEDs with a guarantee that 97% of them will last for more than 25,000 hours. Assuming the guarantee is correct, what is the expected number of them that will last for more than 25,000 hours? 270 288 O291 280
Suppose that a small company purchases 300 of these 75-watt LEDs with a guarantee that 97% of them will last for more than 25,000 hours. Assuming the guarantee is correct, what is the expected number of them that will last for more than 25,000 hours? 270 288 O291 280
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 44EQ
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![### LED Lifespan Expectation Calculation
**Problem Statement:**
Suppose that a small company purchases 300 of these 75-watt LEDs with a guarantee that 97% of them will last for more than 25,000 hours. Assuming the guarantee is correct, what is the expected number of them that will last for more than 25,000 hours?
#### Options:
- 270
- 288
- 291
- 280
#### Solution:
To calculate the expected number of LEDs that will last more than 25,000 hours, you can simply compute 97% of 300.
\[
\text{Expected Number} = 300 \times 0.97 = 291
\]
Therefore, the correct answer is **291**.
---
### Relationships Between Smoking and Cancer
**Instructions:**
Use the information below to answer questions 24 through 27.
Researchers are interested in possible relationships between smoking and cancer. The following two-way table shows the results of data taken for a total of 2500 randomly sampled adults (smokers who are 60 years old or older) who are categorized as Heavy Smoker, Moderate Smoker, or Light Smoker, where the three types of cancers...
(Note: The table that contains data for the description above is not visible in the image provided. Please refer to the original document or source for the complete data table.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29d4af3c-7e73-4db7-9d40-050b2209e722%2F8137341f-e4be-4b75-a58c-bd9f84172cb9%2Fesavjt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### LED Lifespan Expectation Calculation
**Problem Statement:**
Suppose that a small company purchases 300 of these 75-watt LEDs with a guarantee that 97% of them will last for more than 25,000 hours. Assuming the guarantee is correct, what is the expected number of them that will last for more than 25,000 hours?
#### Options:
- 270
- 288
- 291
- 280
#### Solution:
To calculate the expected number of LEDs that will last more than 25,000 hours, you can simply compute 97% of 300.
\[
\text{Expected Number} = 300 \times 0.97 = 291
\]
Therefore, the correct answer is **291**.
---
### Relationships Between Smoking and Cancer
**Instructions:**
Use the information below to answer questions 24 through 27.
Researchers are interested in possible relationships between smoking and cancer. The following two-way table shows the results of data taken for a total of 2500 randomly sampled adults (smokers who are 60 years old or older) who are categorized as Heavy Smoker, Moderate Smoker, or Light Smoker, where the three types of cancers...
(Note: The table that contains data for the description above is not visible in the image provided. Please refer to the original document or source for the complete data table.)
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