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its estimated that 6 out of every 1,000 people have bipolar disorder, i.e., there is a...

its estimated that 6 out of every 1,000 people have bipolar disorder, i.e., there is a 0.6% chance of having the disorder. Of people with the disorder, 80% are male. Let A be the event that a person has bipolar disorder, and M be the event that a person is a male. Assume that it is equally likely to be male or female, that is, P(M) = P(Mc) = 0.5. What does P(M | A) mean in words, and what is the value? What does P(A | M) mean in words, and what is the value? What is the probability that a random person from the population is a female with bipolar disorder?

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