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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

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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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?

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: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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