% of a country's residents have allergies. A test for allergies correctly diagnoses the presence of an allergy in 55% of the people who have one and correctly diagnoses its absence in 80% of the people who don’t. Find the probability that a person who tests positive actually has an allergy. Group of answer choices

% of a country's residents have allergies. A test for allergies correctly diagnoses the presence of an allergy in 55% of the people who have one and correctly diagnoses its absence in 80% of the people who don’t. Find the probability that a person who tests positive actually has an allergy. Group of answer choices

Name: 20% of a country's residents have allergies. A test for allergies cor
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 20% of a country's residents have allergies. A test for allergies correctly diagnoses the presence of an allergy in 55% of the people who have one and correctly diagnoses its absence in 80% of the people who don’t. Find the probability that a perso

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

Related questions

Q: 58% of people rent their homes. If you take a random sample of 50 people, what is the probability…

A: We have given that Sample size n =50 Population proportion p=58%=0.58

Q: Fifteen percent of the products produced by an industrial robot are known to be defective. A…

A: Given p=15%=0.15sample size(n)=6Let "x" be no. of products selected by the quality-control inspector…

Q: researcher found that 85% of white ash trees in Pennsylvania are damaged by the emerald green ash…

Q: person's probability of suffering an attack are 65% in a given category. Find the probability that…

Q: A disease has a prevalence of 11%. A diagnosis has 85% probability of correctly identifying the…

A: Let D=The Person has the disease. Dc=The person doesn't have the disease. P=The person is tested…

Q: About 8% of males are colorblind. Researcher needs the colorblind men for an experiment. What is the…

A: Given, n=9 p=8%=0.08

Q: The probability that at least 1 freshman is chosen for the committee is ?

A: Let p be the proportion of freshmen. Given that p = 29% = 0.29 Also, X denotes number of freshmen on…

Q: A tine test is commonly used to determine whether a person has been exposed to tuberculosis.…

A: A tine test is commonly used to determine whether a person has been exposed to tuberculosis.…

Q: A patient taking an antiviral medication recovers from a respiratory disease with 35% probability.…

A: The probability is p=0.35 and the value of n is 18. Therefore m=np=0.35×18=6.3 Therefore the…

Q: A firm has three identical jobs to fill. Only 40% of the candidates in the waiting room are…

A: Answer: (i) Expected Value = 46 (ii) Variance = 54

Q: A standard deck of cards contains 52 cards, with 13 cards of each suit. Four cards will be dealt off…

A: Given that Total cards = 52 There are 4 suit and each suit has 13 cards Note : nCr = n! / {r! * (n…

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

Q: new drug cures 65% of the patients who take it. If it is given to 14 patients, what is the…

A: We have to find out answer of given question....

Q: If the probability of choosing a red chip from a bucket is 0.4, What is the probability of not…

A: We have the probability of choosing a red chip from a bucket is 0.4

Q: Colgate claims that 95% of dentists recommend Colgate toothpaste. Suppose you randomly choose 10…

A: Solution:- Assuming that the claim by Colgate is true, we can model the probability of a dentist…

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A: Let X represent random variable n=5 p=0.08 X~ binomial (5, 0.08)

Q: A test is available to diagnose a disease. If a person has the disease, the probability that the…

A: Obtain the probability that the person has the disease and the test is positive. The probability…

Q: A standard deck of cards contains 52 cards, with 13 cards of each suit. Four cards will be dealt off…

A: Kindly upvote this if you found helpful and if you've any doubt then let me know... Thank you

Q: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: You have 10 children in preschool class. The probability of getting sick from a virus they have been…

Q: The probability 99% of ChatBot message send to customer are correct. If a sample of 100 massages is…

Q: An ice cream company enlisted 20 people to participate in a survey. When selecting either vanilla or…

A: vanillachocolatetotalchild369adult7411total101020select one participant at random. P(adult or…

Q: ts have allergies. A test for allergies correctly diagnoses the presence of an allergy in 85% of…

A: Define the following events : A: Proportion of people having allergy B: proportion people which do…

Q: what is the probability that it actually emits excessive amounts of emissions?

A: Define some events A : A car emits excessive amounts of emissions. B : A car does not emit excessive…

Q: Researchers suggest that 9.5% of females in Scotland have red hair. Approximately 10% of Scottish…

A: Conditional probability formula : P(A | B) = P(A n B) /P(B)

Q: If the chocolate is too heavy, Zachwill need to pay Hershey's distributor a small overage fee. Test…

A: Given Information: alpha value = 0.01 u = 0.16 oz

Q: probability that there less than 2 accidents in a week?

A: here given, average of 4 accidents in week here use poisson process because Event occurrence rate…

Q: The probability that an adult possesses a credit card is .65. A researcher selects two adults at…

A: P(posseses credit card ) = p = 0.65 So q =1-p = 0.35 Select two at random

Q: A computer technician notes that 40% of computers fail because of the hard drive. If he repairs many…

A: random variable X number of trials at which first success occurs. X~geometric(p) where…

Q: on has blood type A is 0.3.Two persons are selected at random. What is the probability that neither…

A: Consider: E: The event that selected person has Blood type A. We have P(E)=0.3 The probability of…

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

20% of a country's residents have allergies. A test for allergies correctly diagnoses the presence of an allergy in 55% of the people who have one and correctly diagnoses its absence in 80% of the people who don’t. Find the probability that a person who tests positive actually has an allergy.

Group of answer choices

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

In a 1 pond bag of skittles the possible colors were red, green, yellow, orange, and purple. The probability of drawing a particular color from that bag is given below. Is this a probability model? Answer Yes or No. Color Probability Red 0.2291 0.1902 Green Orange Yellow Purple A. No B. Yes 0.2163 0.1884 0.1815
The probability that an adult possesses a credit card is .15. A researcher selects two adults at random. The probability that the first adult possesses a credit card and the second adult does not possess a credit card
A company conducting a survey to determine how prepared people are for a long-term power outage, natural disaster, or terrorist attack. The frequency distribution on the right shows the results. Use the table to answer the questions. what is the probability that the next person surveyed is very prepared?
40% of a Math 310 class are women. The probability that a woman likes the color blue is 10%. What is the probability that a person chosen from the class likes blue given a woman is chosen? 0.25 O 0.0267 0.4 O 0.75
Within the general population in the 21st century, the chances of having twins are about 3 in 100 (about 3%). If couples are selected at random from the population, what is the probability that the first couple with twins is randomly selected on or before the 3rd selection? Choices: a. 0.028227 b. 0.087327 c. 0.0291 d. 0.03
Gotham government officials have a 50.8% chance of being corrupt. Determine the probability that a randomly selected Gotham government official is not corrupt.
Organ Donors USA Today provided information about a survey of 5100 adult Internet users. Of the respondents, 2346 said they are willing to donate organs after death. In this survey conducted for Donate Life America, 100 adults were surveyed in each state and the District of Columbia, and results were weighted to account for the different state population sizes. a. What percentage of respondents said that they are willing to donate organs after death? b. Based on the poll results, what is the probability of randomly selecting an adult who is willing to donate organs after death? c. What term is used to describe the sampling method of randomly selecting 100 adults from each state and the District of Columbia?
The CDC did a study on various ways to quit smoking. The results of the study are shown below. Nicotine Gum Nicotine Patch Nicotine Inhaler Still Smoking 191 263 95 Quit Smoking 59 57 27 Suppose a person in the study is chosen randomly. What is the probability that the person was still smoking at the end of the study?
Mindy is a baker, she wants to make a special treat for Valentine's day for her customers but needs help choosing which one. She simulates 120 customers choosing from among 5 different treats. Her simulation results are in the table below. Based on data from the simulation, what is the probability that the treat chosen by a random customer will be a strudel?
The probability that an adult possesses a credit card is .75. A researcher selects two adults at random. The probability that the first adult possesses a credit card and the second adult does not possess a credit card
A statistics teacher gives a 10-question multiple-choice pop quiz with five answer choices per problem. Brandon is not prepared and has to guess the answer for each of the 10 questions. The teacher explains that students will receive a free homework pass if they answer at least five questions correctly. What is the probability that Brandon will earn a free homework pass? A. 0.006 B. 0.026 C. 0.033 D. 0.967 E. 0.994
Flights According to the Bureau of Transportation, 80.3% of American Airlines flights arrive on time. What is the probability of randomly selecting an American Airlines flight that does not arrive on time?