Question

In: Statistics and Probability

Of the 35 doctors offices within a 10 mile radius, 9 have only one physician on...

Of the 35 doctors offices within a 10 mile radius, 9 have only one physician on staff, 15 have two on staff, 6 have three physicians on staff, and 5 have four physicians on staff. A physician is chosen at random. What is the probability that this person is from a doctors office with 2 physicians on staff?

Solutions

Expert Solution

Please ignore the part where I wrote the probability of choosing a physician =1/77

That part does not add anything to the solution and I didn't strike it off because it'd damage the aesthetic of the script.

Baye's theorem states that, if A1, A2, A3...An are mutually exclusive events such that A1UA2U A3U...An = S(sample space) and let B be any event from the sample space S, then P(Ai/B) = P(B/Ai)/∑ni=0[P(B/Ai)P(Ai)]


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