. Suppose 2 doctors A and B test all patients coming into a clinic for Syphilis. Let A+ = {doctor A makes a positive diagnosis) and B+ = (doctor B makes a positive diagnosis). Suppose doctor A diagnoses 10% of all patients as positive, doctor B diagnoses 17% of all patients as positive and both doctors diagnose 8% of all patients as positive. i) Find the conditional probability that doctor B makes a positive diagnosis given that doctor A makes a positive diagnosis. ii) What is the conditional probability that doctor B makes a positive diagnosis of Syphilis given doctor A makes a negative diagnosis. ii) Suppose that a balanced die is tossed once. Find the probability of a 1, given that an odd number was obtained.

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. Suppose 2 doctors A and B test all patients coming into a clinic for Syphilis. Let A+ =
{doctor A makes a positive diagnosis) and B+ = (doctor B makes a positive
diagnosis). Suppose doctor A diagnoses 10% of all patients as positive, doctor B
diagnoses 17% of all patients as positive and both doctors diagnose 8% of all patients
as positive.
i) Find the conditional probability that doctor B makes a positive diagnosis given
that doctor A makes a positive diagnosis.
ii) What is the conditional probability that doctor B makes a positive diagnosis of
Syphilis given doctor A makes a negative diagnosis.
ii) Suppose that a balanced die is tossed once. Find the probability of a 1, given that
an odd number was obtained.
Transcribed Image Text:. Suppose 2 doctors A and B test all patients coming into a clinic for Syphilis. Let A+ = {doctor A makes a positive diagnosis) and B+ = (doctor B makes a positive diagnosis). Suppose doctor A diagnoses 10% of all patients as positive, doctor B diagnoses 17% of all patients as positive and both doctors diagnose 8% of all patients as positive. i) Find the conditional probability that doctor B makes a positive diagnosis given that doctor A makes a positive diagnosis. ii) What is the conditional probability that doctor B makes a positive diagnosis of Syphilis given doctor A makes a negative diagnosis. ii) Suppose that a balanced die is tossed once. Find the probability of a 1, given that an odd number was obtained.
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