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# True or false: If A and B are mutually exclusive,a. P ISBN: 9780073401331 38

## Solution for problem 19E Chapter 2.1

Statistics for Engineers and Scientists | 4th Edition

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Problem 19E

True or false: If A and B are mutually exclusive,

a. P (A⋃B) = 0

b. P (A⋂B) = 0

c. P (A⋃B) = P(A⋂B)

d. P (A⋃B) = P(A) + P(B)

Step-by-Step Solution:

Step 1 of 5:

Given that A and B are mutually exclusive events.that means only one event can occur at a time.

Event A and B cannot happen simultaneously.

Using this fact we have to identify which are true and which are false.

Step 2 of 5:

(a)

We have to check whether P(A B)=0 is true of false.

This is false,because P(A B) always yields the sample space and it cannot be equal to 0.

So,P(A B)=0 is false.

Step 3 of 5:

(b)

We have to check whether P(A B)=0 is true or false.

It is given that A and B are mutually exclusive events.So P(A B)=0 happens.

Thus,P(A B)=0 is true.

Step 4 of 5

Step 5 of 5

##### ISBN: 9780073401331

The full step-by-step solution to problem: 19E from chapter: 2.1 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: exclusive, False, mutually, true. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The answer to “True or false: If A and B are mutually exclusive,a. P (A?B) = 0________________b. P (A?B) = 0________________c. P (A?B) = P(A?B)________________d. P (A?B) = P(A) + P(B)” is broken down into a number of easy to follow steps, and 28 words. Since the solution to 19E from 2.1 chapter was answered, more than 299 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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