NT #5 TRUE or FALSE Justify your answers. a. If two events A and B are mutually exclusive, then P(A) + P(B) = 1. b. If P(A) = .1 and P(B) = .9, then P(A) + P(B) = 1. c. If P(A) = .9 and P(B) = .9, then P((An B)') can have any value between 0 and .1. d. If P(A) = .12, P(B) = .25, and P(C) = .47 and P(AnBnC) = 0, then all three events are mutually exclusive.
NT #5 TRUE or FALSE Justify your answers. a. If two events A and B are mutually exclusive, then P(A) + P(B) = 1. b. If P(A) = .1 and P(B) = .9, then P(A) + P(B) = 1. c. If P(A) = .9 and P(B) = .9, then P((An B)') can have any value between 0 and .1. d. If P(A) = .12, P(B) = .25, and P(C) = .47 and P(AnBnC) = 0, then all three events are mutually exclusive.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![NT #5 TRUE or FALSE
Justify your answers.
a. If two events A and B are mutually exclusive, then P(A) + P(B) =1.
b. If P(A) = .1 and P(B) = .9, then P(A) + P(B) = 1.
c. If P(A) = .9 and P(B) = .9, then P((An B)') can have any value between 0 and .1.
d. If P(A) .12, P(B) = .25, and P(C)= .47 and P(AnBnC) = 0, then all three events are mutually
exclusive.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd86cda1-af2d-4585-b012-7ab18b7ef9b3%2F201060f5-9b20-4ce9-8ec3-95c7d09fd6df%2Fbvfn2ro_processed.jpeg&w=3840&q=75)
Transcribed Image Text:NT #5 TRUE or FALSE
Justify your answers.
a. If two events A and B are mutually exclusive, then P(A) + P(B) =1.
b. If P(A) = .1 and P(B) = .9, then P(A) + P(B) = 1.
c. If P(A) = .9 and P(B) = .9, then P((An B)') can have any value between 0 and .1.
d. If P(A) .12, P(B) = .25, and P(C)= .47 and P(AnBnC) = 0, then all three events are mutually
exclusive.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given that
We have to find true or false
a...a. If two events A and B are mutually exclusive, then P(A) + P(B) = 1
b. If P(A) = 0.1 and P(B) = 0.9 then P(A) + P(B) = 1
c. If P(A) = 0.9 and P(B) = 0.9 then P((A∩B)') can have value between 0 and 1..
d..If P(A)=0.12, P(B)=0.25, P(C)=0.47
P(A∩B∩C)=0 then all three events are mutually exclusive.
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