Consider the joint probability distribution on the right. a) What is P(A = false)? Show your work. b) What is P(A=true or B=true)? Explain. c) What is P(A=true|C=false)? d) Are A and C independent? Why?

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Consider the joint probability distribution on the right.
a) What is P(A = false)? Show your work.
b) What is P(A=true or B=true)? Explain.
c) What is P(A=true|C=false)?
d) Are A and C independent? Why?


A
False
False
False
False
True
True
True
True
B
False
False
True
True
False
False
True
True
C
False
True
False
True
False
True
False
True
P(A, B, C)
0.10
0.13
0.15
0.12
0.01
0.19
0.07
0.23
Transcribed Image Text:A False False False False True True True True B False False True True False False True True C False True False True False True False True P(A, B, C) 0.10 0.13 0.15 0.12 0.01 0.19 0.07 0.23
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