Suppose the likelihood of someone being allergic to cats is 1/1000 of the general population. A test to determine if you're allergic to cats has a false positive rate of 5%, that is, 5% of the time the test will indicate incorrectly that you are allergic to cats. Also, the test is said to be 98% accurate for those who are indeed allergic. Considering a random individual being tested for the unfortunate cat allergy, what is the probability that if the person tested positive they are indeed allergic? (In other words, what is the probability the person is actually allergic given they tested positive?) Round solution to the nearest percent.

Suppose the likelihood of someone being allergic to cats is 1/1000 of the general population. A test to determine if you're allergic to cats has a false positive rate of 5%, that is, 5% of the time the test will indicate incorrectly that you are allergic to cats. Also, the test is said to be 98% accurate for those who are indeed allergic. Considering a random individual being tested for the unfortunate cat allergy, what is the probability that if the person tested positive they are indeed allergic? (In other words, what is the probability the person is actually allergic given they tested positive?) Round solution to the nearest percent.

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: You are analysing a factory. Stage 3 of the manufacturing process has a 15% chance of finishing on…

Q: It has been shown by claims that have been made that 20% of parcels arrive damaged when using an…

Q: The probability that a person with certain symptoms has hepatitis is 0.7. The blood test used to…

A: Given that P ( H ) = 0.7, P (+ve/H ) = 0.95 , P ( + ve / H' ) = 0.05 Find P( H/+ve ) = ?

Q: If the probability of having a female tortoise is 0.35, what is the probability of having four…

A: Given that, The probability of having a female tortoise is, p = 0.35 The no.of eggs in a nest is, n…

Q: If the probability that a randomly chosen college student is up to date on vaccines is 0.42, then…

A: The question is about probability Given : Prob. of a randomly chosen college stud. is up to date on…

Q: In one study of calls to 911 in Los Angeles, it was found that 85% of the calls were not…

A: Solution: From the given information, the proportion of the calls were not emergencies is p=0.85 and…

Q: en the current Center of Disease Analytics statistics, the probability of having the flu in our area…

A: event A= having flup(having the flu in our area)=0.10p(A)=0.10P(A')=1-0.10=0.90event B=report…

Q: A survey of students found that 86% expect to pass the statistics test they are scheduled to take…

Q: According to a study by a road safety interest group, the probability that speeding is a cause of a…

A: We have to find given probability.

Q: the age of Subject #101 is 71. Divide that age by 10 and put a % on it. That is the probability of…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: e blood test used to confirm this diagnosis gives positive results for 94% of people with the…

Q: According to the information that comes with a certain prescription drug, when taking this drug,…

A: Here the given information is According to the information that comes with a certain prescription…

Q: (a) Find the probability that more than 40% of the people in this sample have highblood pressure.(b)…

A: Given : n=75 , p=0.3 Our aim is to find the following : (a) Find the probability that more than 40%…

Q: in humans the chance of having a male child is about 1/2. What are the odds of a couple that has no…

Q: Suppose a recent study determined that 29% of Americans favorite ice cream flavor is If a sample of…

Q: If the probability of being hit by lightning is 1 in 1,000,000, what is the probability of not…

A: Given that , P (being hit by lightning) = 1/1000000 =0.000001

Q: If the probability of contracting a certain illness is 0.0433, would it be considered statistically…

A: Let p be the probability of contacting a certain illness Given p=0.0433

Q: If the probability that a randomly chosen college student takes statistics is 0.34, then what is the…

A: The probability that a randomly chosen college student takes statistics is 0.34. The probability…

Q: Assume that the incidence of the HIV virus in a particuar population is 4% and that the test…

A: Let us denote A= actually has the virus T=tested positive Given that P(A)=4%=0.04 P(T|A)=90%=0.90…

Q: According to the Center for Disease Control (CDC), the percentage of boys who are diagnosed with…

Q: Suppose that the probability of rain tomorrow is 0.4 What are the odds in favor of rain tomorrow?

Q: A study showed that the sex ratio of children born to families in a native community of Ontario…

A: A study showed that the sex ratio of children born to families . Given: A news paper report about…

Q: If a smoker is selected at random, what is the probability that the individual has diabetes? What is…

Q: Suppose that asthma affects 1 in 20 children in a population. We decide to redo the survey and now…

Q: Suppose that asthma affects 1 in 20 children in a population. You take an SRS of 50 children from…

A: It is given that asthma effects 1 in 20 children in a population. Let the random variable X denotes…

Q: Suppose that 24% of US adults favor an increase in taxes. What is the probability that in a group…

A: According to the given information, we have Sample size, n = 8 Given that 24% of US adults favor an…

Question

Considering a random individual being tested for the unfortunate cat allergy, what is the probability that if the person tested positive they are indeed allergic? (In other words, what is the probability the person is actually allergic given they tested positive?) Round solution to the nearest percent.

Video Video

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

Step 2

Step 3

Answer

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

According to the Center for Disease Control (CDC), the percentage of boys who are diagnosed with autism by the age of 8 is 2.7%. If 150 boys under the age of 8 are randomly selected, find the probability that the average of them being diagnosed with autism is more than 2.5%.
A test for the presence of salmonella in chicken detects 97% of the time when the bacteria is present, but also gives a false positive 2% of the time, wrongly indicating the presence of salmonella in uninfected chicken. If 10% of the chicken samples tested contain salmonella, what is the probability that a test result indicating the presence of the bacteria is accurate?
A group of 11 students' cholesterol levels are tested. Suppose the probability of a student having a healthy cholesterol level is 0.25. What is the probability that exactly seven out of 11 students have healthy cholesterol levels? (Round your answer to three decimal places.)
A new medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.74. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.04. It is estimated that 14 % of the population who take this test have the disease.If the test administered to an individual is positive, what is the probability that the person actually has the disease?
The president of Doerman Distributors, Inc. believes that 30% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion will be within .05?
Apparently, depression significantly increases the risk of developing dementia later in lift (BBC News, July 6, 2010). In a recent study it was reported that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not have depression. Suppose 10% of all people suffer from depression. What is the probability of a person developing dementia? If a person has developed dementia, what is the probability that the person suffered from depression earlier in life?
high blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of 83 U.S. adults is chosen, Find the probability that more than 41% of the people in this sample have high blood pressure.
A pharmaceutical company is running trials on a new test for anabolic steroids. The company uses the test on 400 athletes known to be using steroids and 200 athletes known not to be using steroids. Of those using steroids, the new test is positive for 375 and negative for 25. Of those not using steroids, the test is positive for 25 and negative for 175. What is the relative frequency of a false negative result (the probability that an athlete using steroids will test negative)? (Round your answer to two decimal places.) What is the relative frequency of a false positive result (the probability that an athlete not using steroids will test positive)? (Round your answer to two decimal places.)
You are analysing a factory. Stage 3 of the manufacturing process has a 70% chance of finishing on time. If it does finish on time, the chance of Stage 4 finishing late is 25%. The overall chance of Stage 4 finishing on time is 64.875%. What is the chance that Stage 4 finishes late if Stage 3 finished late?