It is estimated that approximately 8.14% Americans are afflicted with diabetes. Supposethat a certain diagnostic evaluation for diabetes will correctly diagnose 97% of all adultsover 40 with diabetes as having the disease and incorrectly diagnoses 3.5% of all adultsover 40 without diabetes as having the disease.a) Find the probability that a randomly selected adult over 40 does not have diabetes,and is diagnosed as having diabetes (such diagnoses are called "false positives").b) Find the probability that a randomly selected adult of 40 is diagnosed as not havingdiabetes.c) Find the probability that a randomly selected adult over 40 actually has diabetes,given that he/she is diagnosed as not having diabetes (such diagnoses are called "falsenegatives").

Given PD=8.14%=0.0814 PCD=97%=0.97 PCN=3.5%=0.035 Where D and N represent with diabetes and without…

Answered: It is estimated that approximately…

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

The 2015 National Vital Statistics Report provides information on how the nearly four million live births that occurred in 2014 broke down by birth order. Choose at random a baby born in the United States in 2014. Baby's birth order Probability mean = 1 2 0.391 0.319 The few babies who were 9th or more in birth order are included in the "8" birth order group. In 2014, 39.1% of the nearly 4 million live births in the United States were to first-time mothers. 3 5 6 7 4 0.168 0.072 0.028 0.012 0.005 standard deviation = What are the properties of the sampling distribution of the proportion of births to first-time mothers in random samples of 500 births from 2014? (Enter your answer for the mean rounded to three decimal place and your answer for the standard deviation rounded to four decimal places.) 8 0.005
A report indicates that 75% of all Parliament members agree with the proposal to lower the voting age to 18, from 21 previously. What is the probability that fewer than 65 Parliament members of 220 disagree with the proposal?
Do cat owners sleep better than those without cats? To help answer this question, a cat enthusiast obtained a random sample of 500 Canadians, each of whom answered two questions: 1. do you have a cat? (yes or no), 2. How well do you sleep? (good, neutral, bad). The dataset “CatSleep.xlsx” contains her findings. Find the probability that a randomly selected Canadian is a bad sleeper and a cat owner. Find the probability that a randomly selected Canadian is a neutral sleeper or a cat owner. Find the probability that a randomly selected non-cat owner is a bad sleeper. That is, find the probability that a randomly selected Canadian is a bad sleeper, given they are not a cat owner Can you handwrite the solution?
According to estimates by the office of the Treasury Inspector General of IRS, approximately 0.0354 of the tax returns filed are fraudulent or will contain errors that are purposely made to cheat the IRS. In a random sample of 393 independent returns from this year, what is the probability that greater than 10 will be fraudulent or will contain errors that are purposely made to cheat the IRS?
Suppose that 40% of Tulane undergraduates intend to continue on to graduate school after completing their undergraduate degrees. Suppose we randomly select 20 Tulane undergraduates. Find the probability that at least 11 of the students in the sample intend to continue on to graduate school.
Suppose that if person with tuberculosis is given a TB screening, the probability that his or her condition will be detected is 0.90. If a person without tuberculosis is given a TB screening , the probability that he or she will be diagnosed incorrectly as having tuberculosis is 0.3. Suppose, further, that 11% of the adult residents of a certain city have tuberculosis. If one of these adults is diagnosed as having tuberculosis based on the screening, what is the probability that he or she actually has tuberculosis?
It is estimated that 3.6% of the general population will live past their 90th birthday. In a graduating class of 738 high school seniors, find the probability that 30 or more will live beyond their 90th birthday.
It was found that among Kenyans 22% have Blood type AB. What is the probability that exactly 5 out of 12 randomly selected Kenyans will have blood type AB
Based on observation 85% of the population of adult males wash their hands in a public restroom. In a survey of 523 adult males, 518 reported they washed their hands when using a public restroom. Find the probability that among 523 randomly selected adult males 518 or more wash their hands in a public. restroom. Does it appear that all the people who claimed they washed their hands were telling the truth?
Suppose that 40% of Tulane undergraduates intend to continue on to graduate school after completing their undergraduate degrees. Suppose we randomly select 20 Tulane undergraduates. Find the probability that at least 10 of the students in the sample intend to continue on to graduate school.
The Physicians' Foundation reported that almost 50% of all general practice physicians in the United States do not recommend medicine as a career. Let x represent the number of sampled general practice physicians who do not recommend medicine as a career. Consider a random sample of 12 physicans. Find the probability that exactly 6 of them do not recommend medicine as a career.
In a Pew Research Center survey of Internet users, 3732 respondents say that they use social networking sites and 1380 respondents say that they do not use social networking sites. What is the probability that a randomly selected person uses a social networking site? Does that result suggest that it is likely (with a probability of 0.5 or greater) for someone to use social networking sites?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS