Explore BrainMass

Explore BrainMass

    Conditional Probability

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    20. A person tried by a 3-judge panel is declared guilty if at least 2 judges cast votes of guilty. Suppose that when the defendant is, in fact, guilty, each judge will independently vote guilty with probability 0.7, whereas when the defendant is, in fact, innocent, this probability drops to 0.2. If 70 percent of defendants are guilty, compute the conditional probability that judge number 3 votes guilty given that
    (a) judges 1 and 2 vote guilty;
    (b) judges 1 and 2 cast 1 guilty and 1 not guilty vote;
    (c) judges 1 and 2 both cast not guilty votes.

    Let Ei, i = 1, 2, 3 denote the event that judge i casts a guilty vote. Are these events independent? Are they conditionally independent? Explain.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:38 pm ad1c9bdddf
    https://brainmass.com/math/probability/conditional-probability-33726

    Attachments

    Solution Summary

    Calculates conditional probability.

    $2.19

    ADVERTISEMENT