question archive Suppose you are having a good day at the gym and you figure that you can deadlift 500 lbs with probability 0

Suppose you are having a good day at the gym and you figure that you can deadlift 500 lbs with probability 0

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Suppose you are having a good day at the gym and you figure that you can deadlift 500 lbs with probability 0.5 and that you can bench 400 lbs with probability 0.6, and that the probability that you can do both is 0.2.

(a) What is the conditional probability that you bench 400 lbs given you deadlifted 500 lbs?

(b) What is the conditional probability that you deadlift 500 lbs given you benched 400 lbs?

(c) Are the events that you deadlift 500 lbs and bench 400 lbs independent? Justify.

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