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Statistics / The Practice of Statistics 5 / Chapter 6.1 / Problem 6

The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor

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Working out Choose a person aged 19 to 25 years at random and ask, In the past seven

Chapter 6, Problem 6

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QUESTION:

Working out Choose a person aged 19 to 25 years at random and ask, In the past seven days, how many times did you go to an exercise or fitness center or work out? Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8 Days: 0 1 2 3 4 5 6 7 Probability: 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02 (a) Show that this is a legitimate probability distribution. (b) Make a histogram of the probability distribution. Describe what you see. (c) Describe the event Y < 7 in words. What is P(Y < 7)? (d) Express the event worked out at least once in terms of Y. What is the probability of this event?

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QUESTION:

Working out Choose a person aged 19 to 25 years at random and ask, In the past seven days, how many times did you go to an exercise or fitness center or work out? Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8 Days: 0 1 2 3 4 5 6 7 Probability: 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02 (a) Show that this is a legitimate probability distribution. (b) Make a histogram of the probability distribution. Describe what you see. (c) Describe the event Y < 7 in words. What is P(Y < 7)? (d) Express the event worked out at least once in terms of Y. What is the probability of this event?

ANSWER:

Step 1 of 6

Using the probability model of the answers on a large sample survey we can determine the following:

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