15. (Disease test): According to the clinical records, the accuracy rate of a certain cancer diagnosistest is 95%, that is, the probability of cancer patients being diagnosed with cancer and the probabilityof healthy people being told to be healthy are both 95%. Now, the general survey in naturalpopulation is carried out, and the prior probability of the tested person suffering from cancer is 0.006.Find out the probability of the diagnosed person suffering from cancer when the test results areknown to be positive.(Let A="the test reaction is positive" and C= "the diagnosed person has cancer")

Bayes' theorem states that:P(C|A) = (P(A|C) * P(C)) / P(A)Where:P(C|A) is the probability of the…

Answered: 15. ( Disease test): According to the…

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...

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According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267.Suppose you sit on a bench in a mall and observe people's habits as they sneeze. (a) What is the probability that among 16 randomly observed individuals exactly 5 do not cover their mouth when sneezing? (b) What is the probability that among 16 randomly observed individuals fewer than 4 do not cover their mouth when sneezing? (c) Would you be surprised if, after observing 16 individuals, fewer than half covered their mouth when sneezing? Why? (a) The probability that exactly 5individuals do not cover their mouth is nothing. (Round to four decimal places as needed.) (b) The probability that fewer than 4 individuals do not cover their mouth is nothing. (Round to four decimal places as needed.)
Blood types can be classified as either Rh* or Rh". According to the Information Please Almanac, 95% of the Chinese population has Rh* blood. 15. What is the probability that five randomly selected Chinese people have Rh* blood? 16. What is the probability that at least one of the five randomly selected Chinese people has Rh blood?
ALICE and YouGov conducted an online poll among Americans hotel guests of more than 18 years old to understand their expectations from hotels in the year 2018-191. This poll showed that 40% of guests were interested in gaining experiences of local cuisine tastings/tours. Suppose you take a random sample of 10 hotel guests. Let, x, represent the number of guests interested in gaining experiences of local cuisine tastings/tours. Find the mean and standard deviation of x. What is the probability that x <=5? Find the probability that x > 7.
Suppose, you are running an experiment that has two outcomes, namely 'success' and 'failure'. You intially don't know the probability of success in a single experiment. But you know that, if you continue to run the experiment several times, the expected number of experiment required for the first success is 8. What is the standard deviation of the number of experiments required for the first success? In details.
When playing the game clash of clans, red army six has earned three stars during 47 of her last 63 war attacks what is the empirical probability she will earn three stars
Find the probability of the indicated event if P(E) =.25 and P(F)=.45 Find P(E or F) if P(E and F)=.20 P(E or F)=_
In China approximately 70% of people are vaccinated. The current infection rate from the disease is about 2 per thousand people per day, shared between those that are unvaccinated and those vaccinated. the probability of getting infected if not vaccinated is 10 times larger than the probability of getting infected if not vaccinated. a/given the total infection rate and vaccination what would be the infection rate among the vaccinated? b/ if someone gets infected what is the probability that they were vaccinated? c/ draw a fiag
11. If the scores for an IQ Test have a mean of 100 and a standard deviation of 15, find the probability of a student having an IQ score that will fall below 112.
A survey was carried out involving a sample of 73 patients, among 15and 20 years old, from a certain hospital. Each of these patients underwent a series of clinical examinations, including your heart rate. Healthy people in this age group they beat between 60 and 90 times per minute. Knowing that the sample mean and the population standard deviation are 87 and 20, respectively, calculate the probability the mean of the patients in the sample to be within the heart rate range?
If the distribution of the population has a nonzero standard deviation and mean 12 then the probability that an individual data value will be greater than 14 is always less than the probability that the mean of 45 randomly selected data values will be greater than 14. True or False
This is an easy question
Is the expected value (mean) of the probability distribution of a random variable always one of the possible values of x from the distribution ? Explain

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