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Chapter 3: Q. 107 (page 227)

Use the information in the Table 3.19to answer the next eight exercises. The table shows the political party affiliation of each of 67members of the US Senate In June 2012. and when they are up freelection.

The events "Republican' and "Up for reelection in 2016" are

a. mutually exclusive.

b. independent.

c. both mutually exclusive and independent.

d. neither mutually exclusive nor independent.

Short Answer

Expert verified

The events republican and up for reelection in 2016is neither mutually exclusive nor independent.So answer d is correct.

Step by step solution

01

Given information

Total no of persons in political party affiliation is 67.

In 2016number of persons in republican party is24.

02

Calculation for mutually exclusive

For mutually exclusive ,

If the probability of both events are equals to zero means ,they are mutually exclusive.

Calculating the probability of the following events:

P=2467

P=2467鈮�0

Thus, we can conclude that events are not mutually exclusive.

03

Calculation for independent

For independent it is satisfy the following condition,

P(R|U)=P(U)

Where,

P(R)is probability of republican.

P(U)is probability of members in political party.

So,

localid="1649672743221" P(RANDU)=P(R)脳P(U)

localid="1649673061264" P(RANDU)=P(R)+P(U)-P(RORU)

localid="1649672629690" =2437+167+2437脳167

=0.3828

P(R)脳P(U)=2437脳167

=0.009

P(RANDU)=P(R)脳P(U)is not satisfied.

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Most popular questions from this chapter

Use the following information to answer the next three exercises. The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. The table used to place bets contains of 38numbers, and each number is assigned to a color and a range.

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