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Chapter 3: Q. 108 (page 227)

The events "Other" and "Up for reelection in November 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 Other and Up for reelection in November 2016 are mutually exclusive.

Step by step solution

01

Step1:Calculate  other and up for reelection(part a)

Events A and B are mutually exclusive if the probability of both events A and B is the same.

calculating the likelihood of event Other and is up for reelection in 2016:

P=067=0

02

Step2:Find A and B are mutually exclusive(part b)

Events A and B cannot be independent if they are mutually exclusive. That's because they can't happen at the same time if they're mutually exclusive. If we know that B occurred, we can be certain that A did not. Thus:

P(A∣B)=0≠P(A)

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