# Question: A test indicates the presence of a particular disease 90

A test indicates the presence of a particular disease 90% of the time when the disease is present and the presence of the disease 2% of the time when the disease is not present. If 0.5% of the population has the disease, calculate the conditional probability that a person selected at random has the disease if the test indicates the presence of the disease.

## Answer to relevant Questions

Two processes of a company produce rolls of materials: The rolls of Process I are 3% defective and the rolls of Process II are 1% defective. Process I produces 60% of the company’s output, Process II 40%. A roll is ...Suppose there are 3 defective items in a lot (collection) of 50 items. A sample of size 10 is taken at random and without replacement. Let X denote the number of defective items in the sample. Find the probability that the ...A fair four-sided die has two faces numbered 0 and two faces numbered 2. Another fair four-sided die has its faces numbered 0, 1, 4, and 5. The two dice are rolled. Let X and Y be the respective outcomes of the roll. Let W = ...Let X equal the number of people selected at random that you must ask in order to find someone with the same birthday as yours. Assume that each day of the year is equally likely, and ignore February 29. (a) What is the pmf ...For the lottery described in Exercise 2.4-13, In Exercise 2.4-13 It is claimed that for a particular lottery, 1/10 of the 50 million tickets will win a prize. Find the smallest number of tickets that must be purchased so ...Post your question