7.It's known that 5 % of people in a certain population have the disease (and 95% do not havethe disease).A test for disease gives a positive result (indicating the presence of disease) in 85% of cases whenthe person has the disease, and in 10% of cases when the person does not have the disease.One person is chosen at random from population and is tested.a. Probability that the test gives a positive result for this person isb. If the test result is positive for this person, then the probability that this person actuallyhas the disease is_Assuming that the event "A randomly selected person has the disease" is denoted by D andthe event "The test for randomly selected person has positive result "is denoted by T,show your work in finding probabilities in a. and b.

According to the information provided in the question, of population have the disease. of population…

Answered: a. Probability that the test gives a…

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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A survey of athletes at a high school is conducted, and the following facts are discovered: 19% of the athletes are football players, 28% are basketball players, and 2% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that he is either a football player or a basketball player? Probability = % (Please enter your answer as a percentage)
A of athletes at a high school is conducted, and the following facts are discovered: 25% of the athletes are survey football players, 60% are basketball players, and 13% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player? Probability = (Please enter your answer as a percent) License
The prevalance of mild myopia (nearsightedness) in adults over age 40 is 27% in the US. Suppose eight adults over age 40 are chosen at random from the population; let Y denote the number of adults with mild myopia. Which of the following can be used to find the probability that 3 of them have mild myopia? [Select all that apply (i.e. you may select 1 or more answers)] A. pbinom(3, 8, 0.27) OB. dbinom(3, 8, 0.27) OC. 1-pbinom(3, 8, 0.27) OD. 56(0.27) 5 (0.73)³ OE. 3(0.27) ³ (1 - 0.27)5 OF. (0.27)³ (0.73)5
The probability that a student graduating from a university has student loans to pay off is 0.60. The probability that a student graduating from this university has student loans to pay off and is a male is 0.24. Find the conditional probability that a randomly selected student from this university is a male given that this student has student loans to pay off after graduation.
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A disease afflicts 1 person in 10 in a population. A test for this disease results in 5% false positives. Assume that a random person is tested for the disease (this person is not selected for the test because there are other symptoms indicating the presence of the disease nor are there any special signs of being disease free). Assume that there are no false negatives from this test. A person tests positive. What is the probability that the person truly has the disease? Now assume that false negatives are 15%. What is the probability that the person truly has the disease? The following paragraph is taken from the National Cancer Institute’s web site on the PSA test for prostate cancer. The paragraph is the complete discussion of false positive PSA results offered on the web site.
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Suppose a recent government report indicates that 1% of the labor force is American Indian. Of the individuals in the labor force who are American Indian, 11% are unemployed. Among the individuals in the labor force who are not American Indian, 6% are unemployed. Let ? be the event that a randomly selected member of the labor force is American Indian and let ? be the event that a randomly selected member of the labor force is unemployed. Determine ?(?∣?), the probability that a randomly selected member of the labor force is American Indian given that he or she is unemployed. Express your answer as a percentage with no decimal places. ?(?∣?)= %
1) The question screenshot is attached down below just need final answer.
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