A patient has completed her medical checkup and is waiting to see the report. The report shows that she tested positive for Rett syndrome, which is a rare neurological and developmental disorder. The test result is 99% accurate (i.e., the probability of testing positive given that a patient has the disease is 0.99). Rett syndrome is a rare disease and only one in 10,000 people carry it (i.e., the probability of having the Rett syndrome disease is 0.0001). Using Bayes’ theorem, what are the chances that this patient does actually have the disease? i.e., calculate P(having the Rett syndrome disease | positive test result

A patient has completed her medical checkup and is waiting to see the report. The report shows that she tested positive for Rett syndrome, which is a rare neurological and developmental disorder. The test result is 99% accurate (i.e., the probability of testing positive given that a patient has the disease is 0.99). Rett syndrome is a rare disease and only one in 10,000 people carry it (i.e., the probability of having the Rett syndrome disease is 0.0001). Using Bayes’ theorem, what are the chances that this patient does actually have the disease? i.e., calculate P(having the Rett syndrome disease | positive test result

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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This problem involves students who have taken Calculus in high school. Assume that 35 percent of students have taken calculus in high school. Of those who have taken calculus in high school, 75 percent plan to major in science. Of those who did not take calculus in high school, only 20 percent plan to major in science. What is the probability that a randomly selected student plans to major in science?
Whether or not you need glasses appears (ha ha) to depend mostly on your genes, but is also influenced by your environment. According to one study, for a family where both parents wear glasses with 5 children, the probability of the children needing glasses is shown below (genetics.thetech.org/ask/ask73). Number of Children with Probability Glasses 0.132 0.330 0.330 0.164 4 0.041 0.003 In a randomly selected family with 5 children, what is the probability that more than 3 children will need glasses?
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