Question

In: Statistics and Probability

Problem 1. In a study of the relationship between health risk and income, a large group...

Problem 1. In a study of the relationship between health risk and income, a large group of people living in MA were asked a series of questions. Some of the results are shown in the following table:

Low Income

Medium Income

High Income

Total

Smoker

601

298

257

1156

Nonsmoker

2019

1601

1978

5598

Total

2620

1899

2235

6754

  1. In this study, what is the probability that someone smokes?

  1. What is the probability that someone smokes, if they have a high income?

  1. What is the probability that someone smokes and they have a high income?

  1. What is the probability that someone smokes or they have a high income?

  1. Is smoking independent of income level?   Why, or why not?

Solutions

Expert Solution

In this study, what is the probability that someone smokes?

What is the probability that someone smokes, if they have a high income?

What is the probability that someone smokes and they have a high income?

What is the probability that someone smokes or they have a high income?

Is smoking independent of income level?   Why, or why not?

No, not independent because:

  • P(Smoker) * P(High income) P(Smoker and high income)
  • P(Smoker) * P(medium income) P(Smoker and medium income)
  • P(Smoker) * P(low income) P(Smoker and low income)

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orchestra answered 1 year ago
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