Answered: If the test diagnosed the disease, what…

Math

Statistics

If the test diagnosed the disease, what is the probability that you actually have it?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: There is a disease whose average incidence is 10 per 30,000 people. In a city of 90,000 people find…

Q: This problem involves students who have taken Calculus in high school. Assume that 15 percent of…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Ten percent of all people are left handed. Thus the probability that both a mother and her daughter…

A: Given information: Percentage of all people who are left-handed = 10% or 0.10 It is required to…

Q: On a 5-day vacation, the forecast is a 34% chance of rain every day. What is the probability that it…

A: n=sample size=number of days=5, p=probability of raining every day=0.34

Q: A blood test indicates the presence of a particular disease 98% of the time when the disease 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: A survey on campus revealed that 77% of the students felt that a new attendance policy was unfair.…

A: Given that the probability that the students felt that a new attendance policy was unfair is = 77%…

Q: You have a campus errand that will take only 15 minutes. The only parking space anywhere nearby is a…

Q: 42% of US adults have very little confidence in newspapers. You randomly select 10 US adults. Find…

A: Given that, 42% of US adults have very little confidence in newspapers. Sample size, n = 10

Q: A student has a 30% chance of getting a particular professor for a class. What are the odds of…

A: From the provided information, There is 30% chance a student getting a particular professor for a…

Q: You roll a standard die 50 times. What is the probability that you roll a 3 at least 8% of the…

Q: Experience has shown that one out of every five customers who place an order with an internet…

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

Q: There is a 72% chance you will be able to get tickets to a concert to see your favorite band in the…

A: Given problem Given that There is a 72% chance you will be able to get tickets to a concert to…

Q: you roll a six-sided die.what is the probability that it is an even number or less than five

A: When a six-sided die is rolled the sample space is S={1,2,3,4,5,6} n(S)=6 P(even number or less than…

Q: In an experiment, the probability of getting the desired outcome is 0.62. What is the probability of…

A: The probability of getting the desired outcome is 0.62.

Q: This problem involves students who have taken Calculus in high school. Assume that 25 percent of…

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

Q: In an experiment, the probability of getting the desired outcome is 0.48. What is the probability of…

A: It is given that the probability of getting the desired outcome is 0.48 We have to calculate the…

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: Approximately 30% of obese patients develop diabetes. If a physician sees 10 patients who are obese,…

Q: Approximately 10.3% of high school students drop out of school before graduation. From a random…

A: Let p be the probability of high school students drop out of school before graduation n=Sample X…

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: A medication states that the odds of having an allergic reaction are 2 in 200. What is that…

A: A medication states that the odds of having an allergic reaction are 2 in 200.

Q: A sample survey interviews an SRS of 267 college women. Suppose that 70% of college women have been…

A: The distribution of data follows normality can be checked using the two conditions : np≥5 n1-p≥5…

Q: 80% of teenagers have access to some social media. If you do a random survey of 400 teenagers, what…

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: Doctors have indicated that 33% of the US population has A+ blood which is the second most common…

Q: A blood test indicates the presence of a particular disease 94% of the time when the disease is…

A: Let Y be the positive test result, D be the presence of the disease, and A be the absence of the…

Q: An STD clinic sees 10 people an hour. The actual probability of someone having an STD is 30%. You…

A: The number of people seen in STD clinic in one hour is 10The actual probability having STD is 30%.

Q: A medication statest that the odds of having an allergic reaction are 1 in 50. What is that…

A: Given that the odds of having an allergic reaction are 1 in 50 So the probability is = 1/50 = 0.02…

Q: A flu test shows that about 31% of all patients visited the hospital. Suppose that 90 patients…

Q: This problem involves students who have taken Calculus in high school. Assume that 35 percent of…

A: Solution: Let A be the event that students have taken calculus in high school and B be the event…

Q: A candy company claims that 31% of candies are orange. We randomly sample 100 candies. We wish to…

A: It is given that Population proportion, p = 31% = 0.31 Sample proportion, p^ = 29% = 0.29 Sample…

Q: Aaron Rodgers of the Green Bay Packers, three-time NFL MVP, completes 65% of his pass attempts. If…

A: Given,p=0.65n=10X~Binomial(n=10,p=0.65)P(X=x)=cxn px (1-p)n-x ; x=0,1,2,....n

Q: Sixty percent of clowns aren’t funny. If you randomly encounter three different clowns, what is…

A: Multiplication rule for independent events:If two events A and B are independent then the…

Question

2% are known to have some heart disease. A test to diagnose the disease is correct 99% of the time if the patient has the disease, and 97% is correct in its diagnosis if the patient does not have the disease. If the test diagnosed the disease, what is the probability that you actually have it?

O 0.597561
O 0.0492
O 0.402439
O 0.9508
O 0.597561

Video Video

Expert Solution

Step 1

Here use probability tree from given information

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A convenience store estimated that 22% of its customers come in to buy milk. What is the probability that out of the next 200 customers, 65 or fewer will buy milk?
Attorneys often use lie detectors to test if a suspect is speaking the truth or not. It is found that the lie detector gives a positive result 64% of the time. The suspect is found to lie for 81% of the positive results and 15% of the negative results. a. If a suspect is actually lying, what is the probability that the lie detector gives a positive test result? b. If the suspect is not lying, what is the probability that the lie detector gives a negative result? Note:Answer in exact fraction, or rounded to at least 4 decimal places
a survey is conducted about 15% of the people have hearing trouble in texas. a sample of 111 people, what is the probabilitythat at most 9% have hearing trouble
Suppose that during this time of virus, 56% of people outside are wearing face masks. If you walk up to three random people, what is the probability that none of the three people will be wearing masks? Group of answer choices 32.5% 8.5% 41.4% 17.6%
66% of college biology students in the United States are female. If we take a random sample of 200 of these students, find the probability that the number of females is at least 135.Write your answer in decimal to four decimal places.
Your favorite team is in the World Series. You have assigned a probability of 63% that they will win the championship. Past records indicate that when teams win the championship, they win the first game of the series 69% of the time. When they lose the championship, they win the first game 22% of the time. The first game is over and your team has lost. What is the probability that they will win the World Series?
A blood test indicates the presence of a particular disease 98% of the time when the disease is actually present. The same test indicates the presence of the disease 0.5% of the time when the disease is not present. One percent of the population actually has the disease. Calculate the probability that a person has the disease, given that the test indicates the presence of the disease.
Give me right solution