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Chapter 3: Q.65 (page 219)

Prove that smoking level/day and ethnicity are dependent events.

Short Answer

Expert verified

Yes, events of probability for smoking level/day and ethnicity are dependent events.

Step by step solution

01

Content Introduction

A contingency table is shown below:

02

Content Explanation

Two events are shown below

E=events for ethnicity

S=event for smoking level per day

To prove two events independent of each other, just prove one from below three conditions:

1.P(E|S)=P(E)2.P(S|E)=P(S)3.P(EAND鈥�S)=P(E)P(S)

it is concluded that P(E)鈮�P(E|S)

Therefore, the events E and S are independent.

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Most popular questions from this chapter

Use the following information to answer the next two exercises. You are rolling a fair, six-sided number cube. Let E = the event that it lands on an even number. Let M = the event that it lands on a multiple of three.

What does P(E OR M) mean in words?

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yellow, 20 green, 28 purple, 26 blue, and the rest are orange.

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Are the events of rooting for the away team and wearing blue independent? Are they mutually exclusive?
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