The pamphlet uses a clever diagram to represent the possible outcomes of a PSA test with their respective frequencies: True positive False negative False positive True negative A FIGURE 10.9 Kaiser Permanente's outcome diagram of 100 PSA tests. Each dot represents the result of one PSA test. a. The Kaiser diagram is reproduced in Figure 1 below. Use this diagram to find the probabilities of a true-positive, a false-positive, a false-negative, and a true-negative. b. What is the positive predictive value (PPV) of the test? That is, what is the conditional probability that a randomly screened patient has prostate cancer, given that he receives a positive PSA test result?

The pamphlet uses a clever diagram to represent the possible outcomes of a PSA test with their respective frequencies: True positive False negative False positive True negative A FIGURE 10.9 Kaiser Permanente's outcome diagram of 100 PSA tests. Each dot represents the result of one PSA test. a. The Kaiser diagram is reproduced in Figure 1 below. Use this diagram to find the probabilities of a true-positive, a false-positive, a false-negative, and a true-negative. b. What is the positive predictive value (PPV) of the test? That is, what is the conditional probability that a randomly screened patient has prostate cancer, given that he receives a positive PSA test result?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

We are interested in analyzing data related to college football. Use S to denote the team is in the SEC and use W to denote a team has a winning season. The probability that a team is in the SEC in the data set is 5.5%. The probability that a team has a winning season is 52.5%. The probability that a team is in the SEC and has a winning season is 3.55%. What percentage of teams are in the SEC or had a winning season? b. What percentage of people teams are in the SEC and did NOT have a winning season? Given a team had a winning season, what is the probability that they are in the SEC? а. с.
A researcher is interested in whether job security and life satisfaction are related. What are the odds of high life satisfaction given job security given the following observed frequencies? Group of answer choices a. 1.55 b. 1.17 c. 2.4 d. 0.61
Using the following two way frequency table, answer the following question: Have Been to Canada Have Not Been to Canada Have Been to Mexico 6 3 Have Not Been to Mexico 5 11 Find the probability that someone has NOT been to Mexico, given that they have been to Canada.
Part a through c please.
please answer
1. Use this table for the following questions: Female Male TotalShort Hair 20 40 60 Long Hair 30 10 40 Total 50 50 100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…
The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next 10 years?” Here is a two-way table of the responses by gender: Opinion Female Male Almost no chance 120 94 Some chance but probably not 156 178 A 50-50 chance 427 498 A good chance 750 700 Almost certain 1176 770 How many individuals are described in this table? How many females were among the respondents? The percent of females among the respondents was about %. Your percent from the previous exercise is part of the marginal distribution of opinion about marriage. the conditional distribution of sex among adolescents with a given opinion. the marginal distribution of sex. What percent of females thought that they were almost certain to be married in the next 10 years?% Your percent from the previous exercise is part of the conditional distribution of sex among…
Mr Alsup asked the studentS in his third-and sixth-period English classes whether they had chosen a topic for thier writing assignment. he recorded the data in a two-way table, as shown below English class Yes No Total Third period 24 6 30 Sixth period 22 3 25 Total 46 9 55 if jannette in in mr alsup sixth-period english class what is the probablity that she has not chosen a topic for her writing assignment? a- 3% b- 5% c- 12% d-14%