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  • Question: Consider the Bayesian network below where all variables are binary: Compute the following probability and show your calculations: P(M=T, E=T, A=F, C=T).

    Consider the Bayesian network below where all variables are binary:
    student submitted image, transcription available below

    Compute the following probability and show your calculations: P(M=T, E=T, A=F, C=T).

    Show transcribed image text
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    There are 3 steps to solve this one.
    Solution
    Step 1

    Multiply thе probabilitiеs associatеd with еach nodе basеd on thе givеn еvidеncе.

    # Step 1
p_m = 0.5  # P(M=T)
p_e_given_m = 0.75  # P(E=T | M=T)
p_a_given_e = 0.6  # P(A=F | E=T)
p_c_given_a = 0.2  # P(C=T | A=F)

# Calculate the joint probability
joint_probability = p_m * p_e_given_m * (1 - p_a_given_e) * p_c_given_a


    Explanation:

    Multiply thе probab...

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Transcribed image text:
Exercise 1. Bayesian network (Homework) Consider the Bayesian network below where all variables are binary: P(M) M 0.5 P(A) M | P(E|M) 0.6 T F 0.5 0.75 E A PVC|E,A) TT 0.75 TF 0.6 TFT |0.2 FE 0.1 Compute the following probability and show your calculations: P(M=T, E=T, A=F, C=T).