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 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:
We have to check whether P(AB)=0 is true of false.
This is false,because P(AB) always yields the sample space and it cannot be equal to 0.
So,P(AB)=0 is false.
Step 3 of 5:
We have to check whether P(AB)=0 is true or false.
It is given that A and B are mutually exclusive events.So P(AB)=0 happens.
Thus,P(AB)=0 is true.
Textbook: Statistics for Engineers and Scientists
Author: William Navidi
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.