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3. Now, you can't do a test about cheetahs without considering the thing they're most famous for - their speed! As the fastest terrestrial animal on the planet, cheetahs are genetically designed to run. To showcase this and raise awareness for wild cheetahs, the San Diego Zoo Safari Park hosts a cheetah run. The cheetah run consists of 3 parts: first, the presenter will talk to the crowd while the cheetah trainer prepares the course; second, the cheetahs dog partner will run the course; and third, the cheetah will run the course. The Safari Park wants to be able to tell guests how long the cheetah run typically takes, which they calculate by adding the times of these 3 parts of the program. Assume that the times of each part are all independent of each other. The times of each part are approximately normally distributed with the following means and standard deviations. Mean Standard Deviation Presenter 10 minutes 2 minutes Dog 30 seconds 5 seconds Cheetah 7 seconds 0.8 seconds (a) What are the mean and standard deviation of the distribution of total presentation time?

3. Now, you can't do a test about cheetahs without considering the thing they're most famous for - their speed! As the fastest terrestrial animal on the planet, cheetahs are genetically designed to run. To showcase this and raise awareness for wild cheetahs, the San Diego Zoo Safari Park hosts a cheetah run. The cheetah run consists of 3 parts: first, the presenter will talk to the crowd while the cheetah trainer prepares the course; second, the cheetahs dog partner will run the course; and third, the cheetah will run the course. The Safari Park wants to be able to tell guests how long the cheetah run typically takes, which they calculate by adding the times of these 3 parts of the program. Assume that the times of each part are all independent of each other. The times of each part are approximately normally distributed with the following means and standard deviations. Mean Standard Deviation Presenter 10 minutes 2 minutes Dog 30 seconds 5 seconds Cheetah 7 seconds 0.8 seconds (a) What are the mean and standard deviation of the distribution of total presentation time?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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3. Now, you can't do a test about cheetahs without considering the thing they're most famous for - their speed! As the fastest terrestrial animal on the planet, cheetahs are genetically designed to run. To showcase this and raise awareness for wild cheetahs, the San Diego Zoo Safari Park hosts a cheetah run. The cheetah run consists of 3 parts: first, the presenter will talk to the crowd while the cheetah trainer prepares the course; second, the cheetahs dog partner will run the course; and third, the cheetah will run the course. The Safari Park wants to be able to tell guests how long the cheetah run typically takes, which they calculate by adding the times of these 3 parts of the program. Assume that the times of each part are all independent of each other. The times of each part are approximately normally distributed with the following means and standard deviations. Mean Standard Deviation Presenter 10 minutes 2 minutes Dog 30 seconds 5 seconds Cheetah 7 seconds 0.8 seconds (a) What are the mean and standard deviation of the distribution of total presentation time?
Transcribed Image Text:3. Now, you can't do a test about cheetahs without considering the thing they're most famous for - their speed! As the fastest terrestrial animal on the planet, cheetahs are genetically designed to run. To showcase this and raise awareness for wild cheetahs, the San Diego Zoo Safari Park hosts a cheetah run. The cheetah run consists of 3 parts: first, the presenter will talk to the crowd while the cheetah trainer prepares the course; second, the cheetahs dog partner will run the course; and third, the cheetah will run the course. The Safari Park wants to be able to tell guests how long the cheetah run typically takes, which they calculate by adding the times of these 3 parts of the program. Assume that the times of each part are all independent of each other. The times of each part are approximately normally distributed with the following means and standard deviations. Mean Standard Deviation Presenter 10 minutes 2 minutes Dog 30 seconds 5 seconds Cheetah 7 seconds 0.8 seconds (a) What are the mean and standard deviation of the distribution of total presentation time?
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