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
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
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Question
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?

Transcribed Image Text: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
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