(BACTERIURIA IS THE PRESENCE OF BACTERIA IN URINE)The presence of bacteria in a urine sample (bacteriuria) is sometimes associated with symptoms ofkidney disease in women. Suppose a determination of bacteriuria has been made over a large populationof women at one point in time and 2% of those sampled are positive for bacteriuria.If a sample of size 5 is selected from this population, what is the probability that 1 or more women arepositive for bacteriuria?

The random variable X follows Poisson distribution. We have to find the probability that 1 or more…

Answered: (BACTERIURIA IS THE PRESENCE OF…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The probability that someone can taste PTC is 0.7. Suppose 20 people are randomly selected andtested for their ability to taste PTC.(a) What is the probability that 17 or more can taste PTC?(b) What is the probability that 15 or fewer can taste PTC?
The patients were grouped in 4 categories: one for each drug, and a control group. The patients in the control group were not given any drug to treat the disease. The following table shows the results of the study: Suppose we randomly select a patient from this study, 1. If you know that the patient we selected was cured in less than three months, what is the probability that she was treated with drug 1? 2. What is the probability that the patient was treated with any of the drugs and was cured between 6 and 12 months from the start of the treatment?
A researcher wants to find the factors affecting the probability that a person suffers from heart diseases. Let Age denote the age of the person, let BMI denote whether the BMI of the preson is above 30 (BMI = 1) or below 30 (BMI = 0), and let smoker denote whether the person is a smoker (smoker= 1) or not (smoker=0). She collects a random sample of 1,000 individuals from the general population and estimates the following logit regression: Pr(Heart disease Age, BMI, Smoker) - F(2.46 +0.05Age + 0.04BMI + 0.04 Smoker). (0.98) (1.09) (1.31) (1.31) Standard errors are given in parentheses. The binary dependent variable, Heart disease denotes the probability of a person suffering from heart disease keeping Age, BMI, and smoker constant. The predicted probability that Henry who is currently aged 58, whose BMI is above 30, and is a smoker, will suffer from a heart disease is (Round your answer to four decimal places.)
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?
A diagnostic test for disease X correctly identifies the disease 95% of the time. False positives occur 7%. It is estimated that 5.13% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. What is the percentage chance that, given a negative result, the person does not have disease X? What is the percentage chance that, the person will be misclassified?
The probability of a positive reaction of the patient to a test developed against a disease is 0.4. Calculate the probability that the first positive response will occur in experiment 5.
A diagnostic test for disease X correctly identifies the disease 90% of the time. Flase positives occur 12%. It is estimated that 5.36% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. What is the percentage chance that given a negative result, the person does not have disease X? What is the percentage chance that, the person will be misclassified?
In a genetics experiment on peas, one sample of offspring contained 436 green peas and 373 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected?
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.
In a genetics experiment on peas, one sample of offspring contained 367 green peas and 40 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the valuee of 3/4 that was expected?
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?

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