Bayes' Theorem
PLEASE TYPE ONLY***
Exercise 5.19.4: Bayes' Theorem - detecting a virus from test results.
(a)
Assume one person out of 10,000 is infected with HIV, and there is a test in which 2.5% of all people test positive for the virus although they do not really have it. If you test negative on this test, then you definitely do not have HIV. What is the chance of having HIV, assuming you test positive for it?
Exercise 5.22.3: Expected values - birthday matches.
(a)
In this problem, assume that the probability that a person is born on a given day is 1/365. (For simplicity, ignore Feb 29.) In a group of 100, what is the expected number of pairs of people who have the same birthday?
Exercise 5.22.4: Expected values - matching coats.
(a)
A class of 10 students hang up their coats when they arrive at school. Just before recess, the teacher hands one coat selected at random to each child. What is the expected number of children who get his or her own coat?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
