A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 80% of the time when the person has the virus and 5% of the time when the person does not have the virus. (This 5% result is called a false positive.) Let A be the event "the person isinfected" and B be the event "the person tests positive."(a) Using Bayes' Theorem, when a person tests positive, determine the probability that the person is infected.(b) Using Bayes' Theorem, when a person tests negative, determine the probability that the person is not infected.i Click the icon to the right to review Bayes' Theorem.

Given that P(A) = 1/200 = 0.005, P(A') = 1 - 0.005 = 0.995 P(B|A) = 0.80 and P(B|A') = 0.05 Then…

Answered: (a) Using Bayes' Theorem, when a person…

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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Calculate the probability P(E). The Heavy Weather Service predicts that for tomorrow there is a 60% chance of tornadoes, a 20% chance of a monsoon, and a 5% chance of both. What is the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon? P(E)
Health The probabilities that an adult American man hashigh blood pressure and/or high cholesterol are shown inthe table.What’s the probability thata) a man has both conditions?b) a man has high blood pressure?c) a man with high blood pressure has high cholesterol?d) a man has high blood pressure if it’s known that he hashigh cholesterol? CholesterolBlood PressureHigh OKHigh 0.11 0.21OK 0.16 0.52
How do you find (b.) and (e.)??
p(a) =0.36 p(B)=0.50 a( a and b) = 0.2365 find out the probability of p( a or B )
Insurance: An insurance company sells a 1 -year term life insurance policy to an 85 -year-old woman. The woman pays a premium of $2300 . If she dies within 1 year, the company will pay $62,000 to her beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 85 -year-old woman will be alive 1 year later is 0.9645 . Let X be the profit made by the insurance company. Part: 0 / 2 0 of 2 Parts Complete Part 1 of 2 (a) Find the probability distribution.The probability distribution is x 2300 Px
Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4 . A sample of 41 U.S. adults is chosen. A new sample of 65 adults is drawn. Find the probability that more than 38% of the people in this sample have high blood pressure. The probability that more than 38% of the people in this sample have high blood pressure is
You are enrolled in MBA 440. At the beginning of the semester, you used your hunch to estimate the likelihood of passing this class. Let P be the event of passing the class; F is the event of failing the class. Your prior probabilities are as follows: P(P)=0.7 P(F)=0.3 After the first week of class, you find out that you have failed the first assignment. Let A1 be the event of passing the first assignment; let A2 be the event of failing the first assignment. Now you feel you need to update your belief about the likelihood of passing this class. You talk to your Professor and she tells you that given someone has passed the class, the probability of passing the first assignment is 0.8, i.e. P(A1|P)=0.8. She also gives you the following conditional probabilities: P(A2|P)=0.2; P(A1|F)=0.3 and P(A2|F)=0.7. What is the posterior probability that you will pass this class given that you have failed the first assignment?
Free Throws During the 2015-2016 NBA season, Jodie Meeks of the Detroit Pistons had a free throw shooting percentage of 0.906 . Assume that the probability Jodie Meeks makes any given free throw is fixed at 0.906, and that free throws are independent. Let S denote successfully making a free throw and F denote missing it. (a) If Jodie Meeks shoots two free throws, what is the probability that he makes both of them? Round your answer to three decimal places.
ANSWER IS NOT 0.64 OR 0.65 (NOR POSITIVE OR NEGATIVE)
According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(BA) P(A) P(BA) + P(A) P(BA) Use Bayes' Theorem to find P(A| B) using the probabilities shown below. P(A| B)= 1 1 P(A) = 6' ) = -5₁₁ P (A) = ₁ P(B| A) = 77₁ and P (B| A') == 6' 2 The probability of event A, given that event B has occurred, is P(A| B) = (Round to the nearest thousandth as needed.)
I need help with all parts of this question 19
i need the answer quickly

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(a) Using Bayes' Theorem, when a person tests positive, determine the probability that the person is infected. (b) Using Bayes' Theorem, when a person tests negative, determine the probability that the person is not infected.