Suppose that 80% of all statisticians are shy, whereas only 15% of all economists are shy. Suppose also that 90% of the people at a large gathering are economists and the other 10% are statisticians. If you meet a shy person at random at the gathering, what is the probability that the person is a statistician?
Tap an option to check your answer.
Checking your account…
Suppose that 80% of all statisticians are shy, whereas only 15% of all economists are shy. Suppose also that 90% of the people at a large gathering are economists and the other 10% are statisticians. If you meet a shy person at random at the gathering, what is the probability that the person is a statistician? (A) 8/9 (B) 0.8 (C) .08 (D) 80/215
Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
This question is on Total probability and Bayes' theorem, part of Probability and Bayes' theorem in Statistics.
Reversing a conditional probability and updating beliefs from evidence.
TestStop has 22 past-paper questions on this subtopic.
Question from the DSE 2008 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.