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.

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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.
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.
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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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