1. Many canadians go to Myrtle Beach to camp out, generating the following results:
Roughly: 10% of vacationers at Myrtle beach are Canadians, 40% of vacationers at Myrtle Beach are campers, and 15% of vacationers at Myrtle Beach are Canadian campers.
A) What is the probability that a given camper is canadian?
B) What is teh probability that a canadian vacationer at Myrtle Beach is a camper?
C) What is the probability that a vacationer is eitehr a camper or a Canadian?
2. A doctor is afraid of getting sued (S) if he diagnoses (D) a patient incorrectly.
The probability that he will diagnose an illness correctly is: 87%
The probability that he will be sued if he is incorrect is: 16%
What is the probability that he will diagnose incorrectly and get sued for it?
(1) (a) P(A given camper is a Canadian) = P(Canadian | Camper)
= P(Canadian camper)/P(Camper)
= 0.15/0.40 = 0.375
(b) P(A Canadian vacationer is a camper) = ...
The Solution provides the required probabilities.