Apply Bayes’ theorem to find out the probability that a patient has disease of stiff neck. Case Study: A doctor is aware that disease meningitis causes a patient to have a stiff neck, and it occurs 80% of the time. He is also aware of some more facts, which are given as follows: •The Known probability that a patient has meningitis disease is 1/30,000. •The Known probability that a patient has a stiff neck is 2%.

Apply Bayes’ theorem to find out the probability that a patient has disease of stiff neck. Case Study: A doctor is aware that disease meningitis causes a patient to have a stiff neck, and it occurs 80% of the time. He is also aware of some more facts, which are given as follows: •The Known probability that a patient has meningitis disease is 1/30,000. •The Known probability that a patient has a stiff neck is 2%.

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: Given that a random person just tested positive, determine the probability of having this illness.

A: Here use tree diagram

Q: A test for a certain disease takes anywhere from 1 minute to 10 minutes to administer. If the time…

A: From the given information, let X be the test time for the administer to identify the disease. Here,…

Q: diagnostic test for disease X correctly identifies the disease 97% of the time. False positives…

A: event A: suffer from dieseaseB: test positiveP(B|A) = 0.97P(B|A') = 0.07P(A) = 0.0423P(A') = 1 -…

Q: A shelf in the Metro Department Store contains 80 colored ink cartridges for a popular ink-jet…

A: From the provided information, A shelf in the metro department store contains 80 colored ink…

Q: An assembly line, based on past production, has a 2% defective rate. A random sample of 800…

A: Given that n=800 p=0.02 q=1-p =1-0.02 =0.98

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

Q: A certain affects virus 0.1% of the population. A test used to detect the virus in a person is…

A: Solution

Q: Consider your answer in part (a). What is the probability that pˆD−pˆE is greater than the value…

A: Given, In Population D: Population Proportion :Turtles have a shell length greater than 2 feet =…

Q: outside factors (14%). Outside factors a induced substances or foreign objects ccurrences are caused…

A: a) The probability that 3 individuals have conditions caused by outside factors is p = 0.14x = 3By…

Q: Whether or not you need glasses appears (ha ha) to depend mostly on your genes, but is also…

Q: A certain virus infects 5% of the population . A test used to detect the virus in a person is…

A: Given that: A certain virus infects 5% of the population. Let “A” be the event infected by the virus…

Q: Environmentalists have accused a large company in the eastern United States of dumping nuclear waste…

A: The objective of this question is to find the probability that both the fish and the animals that…

Q: Round your answer to three decimal places. The probability that a person with restless leg syndrome…

A: The tree diagram can be constructed as:

Q: The drop out rate of female students from computer science programs in their first year is much…

A: Given : Let X : No. of females student drop out from computer science program Rate of drop out for…

Q: Not yet answered Marked out of 10.0 Flag question a. From Record Department, Hospital Serdang, 72%…

Q: the probability of a player scoring a goal is 0.7. What is the probability that a 5th goal is made…

Q: Suppose the likelihood of someone being allergic to cats is 1/1000 of the general population. A test…

A: The information provided provided in the question are as follows : The likelihood that a person is…

Q: JA man claims to have extrasensory perception P). As a test, a fair coin is flipped 28 times, and…

A: To find the probability that he would have done at least test well if he had no ESP.

Q: Color blindness has a rate of about 5% among males. If you pick a group of 15 males, what is the…

Q: As Bayes' Theorem illustrates, when you're testing for a rare event (e.g. a rare disease), it's…

A: A false positive is typically referred to as a Type I error in statistics. When someone wrongly…

Q: medical test is conducted to determine whether someone has a disease. Suppose that 8% of population…

A: Using Baye's theorem this question can be answered.

Q: In remote jungle village the probability of a child contracting malaria is .45 the probability of…

Q: During emergency, incoming calls to an emergency hotline numbe are independent from one another.…

Q: A certain disease affects 1% of the population. A diagnostic test for the disease is 99% accurate…

A: Introduction Bayes' theorem is a mathematical formula used in statistics to calculate the…

Q: A patient has completed her medical checkup and is waiting to see the report. The report shows that…

A: Let A and B are two events then the baye's theorem has the formula,

Q: How do I find the probability that the person has hypertension P(HlR)? P(F) = 0.90, P(H) = 0.10,…

A: It is given that P(F) = 0.90, P(H) = 0.10, P(R/H) = 0.95, P(R/F) = 0.08

Q: Is the table above an example of a probability model? OA. Yes, because the probabilities sum to 1…

A: It is given that the probability model.

Q: Bladder Cancer Sweetener Yes No Used 129 245 171 332 Never Used 1. Using the data from the above…

Q: Suppose a county's recent health report gives a pet allergy prevalence of 0.16 for kids. There is a…

A: Form the tree diagram, P(pet allergy status)=0.16Ppet allergy but test Negative=0.15P(No pet allergy…

Q: The probability of a successful merger with a larger firm is 0.6. Given that a merger is successful…

A: The probability of a successful merger with a larger firm is 0.6.

Q: please answer part c

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 0.5% of the population currently has the virus, what is the probability that a person has the…

A: Let us define some events A : a person has the virus. B : a person does not have virus. E : test…

Q: Trials in an experiment with a polygraph include 97 results that include 24 cases of wrong results…

A: Given P=0.80 x=73 n=97

Q: The probability that someone can taste PTC is 0.7. Suppose 20 people are randomly selected and…

A: We have given that, Let X be the random variable from binomial distribution with probability (p) =…

Q: An insurance company insured 2000 scooter drivers, 4000 car drivers, and 6000 truck drivers. The…

A: According to the given information,Number of scooter drivers insured, n(Is) = 2000Number of car…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Apply Bayes’ theorem to find out the probability that a patient has disease of stiff neck.

Case Study:

A doctor is aware that disease meningitis causes a patient to have a stiff neck, and it occurs 80%

of the time. He is also aware of some more facts, which are given as follows:

•The Known probability that a patient has meningitis disease is 1/30,000.

•The Known probability that a patient has a stiff neck is 2%.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

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

Hi, I am having trouble with this question of my elementary stastical methrod online of probability assignment. Can you please explain math problem to me. Thank you. A coin is tossed and an eight -sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling a number greater than 1. The probability of tossing a head and then rolling a number greater than 1 is.
Suppose a lung cancer test is 85% sensitive and 93% specific. That is, the test will produce 85% true positive results for those with lung cancer and 93% true negative results for those without lung cancer. Suppose that 3.2% of people actually have lung cancer. If a randomly selected individual tests positive, what is the probability he or she does not have cancer? YOUR ANSWER SHOULD BE BETWEEN O AND 100 AND ROUNDED To 4 DECIMAL PLACES. (e.g. 59.5321 would be 59.5321%)
If you roll a 10 sided die until you get a 1, what would be the expected value and variance of the resulting probability distribution?
2 questions, first one is (a) and the second one is (b)
1% of all products in a factory are defective. During quality control, a test is applied that detects a defective product with a probability of 0.99, and in 1% of cases it incorrectly rejects a correct product. Find the probability that the product that is rejected is actually correct, as well as the probability that the product that is accepted in the test as correct is in fact defective.
A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 29 times, and the man is asked to predict the outcome in advance. He gets 25 out of 29 correct. What is the probability that he would have done at least this well if he had no ESP?Probability =
A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 20 times, and the man is asked to predict the outcome in advance. He gets 18 out of 20 correct. What is the probability that he would have done at least this well if he had no ESP? Probability =
A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 26 times, and the man is asked to predict the outcome in advance. He gets 18 out of 26 correct. What is the probability that he would have done at least this well if he had no ESP? Probability =
A disease affects 1 out of 10,000 people. There is a test to check whether a person has the disease. The test is accurate. In particular, we know the following: (a) The probability that the test result is positive given that the person does not have the disease, is only 2 percent. (b) The probability that the test result is negative given that the person has the disease, is only 1 percent. Question: A random person gets tested for the disease and the result comes back positive. What is the probability that the person has the disease?