Before testing for COVID, Jemima has a prior probability of 0.45 ofhaving COVID. If Jemima has COVID, there is a probability of 0.9that the test would come positive and a probability of 0.1 that thetest would come out negative. If Jemima does not have COVID,there is a probability of 0.14 that the test would come positive anda probability of 0.86 that the test would come out negative.Multiple tests provide independent information. Jemima takes twotests. Both tests come out negative. What is the posterior odds-ratio that Jemima has COVID?

Answered: Before testing for COVID, Jemima has 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...

See similar textbooks

Similar questions

A BSCE student is taking Calculus 2 and Engineering Data Analysis courses. The probability that he will pass Calculus 2 and Engineering Data Analysis is 2/3and 4/9, respectively. What is the probability that he will pass both courses if the probability of passing at least one course is 4/5.
Anthony has just received Covid-19 test results from a patient named Melania. The accuracy of the test is as follows: the probability the test will be positive if Melania has Covid-19 is p, and the probability the test will be positive if Melania does not have Covid-19 is q. The proportion of the population that has Covid-19 is 7. The test comes back positive. Anthony has no information about Melania's symptoms. (For reasons he does not understand.) Problem 3c What value of y would result in the simple model of base-rate neglect we learned in class? 67 O 33 O 25 Question 24 Problem 3d If p = .95, q = .05, and r = .1, what must be the value of y if Anthony believes that the probability Melania has Covid-19 is .9? O 3.214 O 5 O 1.05 O 3.57
Solve it correctly and clear
Answers must be in 4 decimals 1. The probability that IEntelligent will open a review center in Quezon City is 0.7, the probability that is will open a review center in Laguna is 0.4, and the probability that it will open a review center in either QC or Laguna or both is 0.8. what is the probability that IEntelligent will locate in both locations? 2. The probability that IEntelligent will open a review center in Quezon city is 0.7, the probability that is will open a review center in Laguna is 0.4, and the probability that it will open a review center in either QC or Laguna or both is 0.8. What is the probability that IEntelligent will locate in QC only?
Assume that n 16, and p = 9/10. Find the probability of at least 2 successes and at least 3 failures.
Anthony has just received Covid-19 test results from a patient named Melania. The accuracy of the test is as follows: the probability the test will be positive if Melania has Covid-19 is p, and the probability the test will be positive if Melania does not have Covid-19 is q. The proportion of the population that has Covid-19 is 7. The test comes back positive. Anthony has no information about Melania's symptoms. (For reasons he does not understand.) wiet value of ya would result in the simple model of base-rate neglect we learned in class? 67 O 33 25 Problem If p = .95, q = .05, and a = .1, what must be the value of y if Anthony believes that the probability Melania has Covid-19 is .9? 3.214 O 1.05 O 3.57
Assume that we have three coins: The first coin is fair. The second coin is unfair with probability of heads equal to 0.8. The third coin is also unfair with probability of heads equal to 0.3. Consider an experiment involving two successive coin tosses. The result of the first stage of the experiment is determined by the toss of the fair coin. The result of the second stage of the experiment is determined by the toss of a coin, but suppose that the coin that is used depends upon the result of the toss of the fair coin. Specifically, if the toss of the fair coin results in heads, then the second coin is tossed. Otherwise the third coin is tossed. Let Hi and Ti be the events that ith toss resulted in heads and tails, respectively. Answer the following questions. a) Give a sequential description of the experiment using a tree diagram. b) Calculate the probabilities of the possible outcomes of the experiment. c) Calculate P(H2) d) Are the events H1 and H2 independent? Justify…
Two bags of crayons contain an assortment of different colours. The probability of randomly selecting a red crayon from the first bag is 4/5. The probability of randomly selecting a red crayon from the first bag and a blue crayon from the second bag is 0.36. The probability, to the nearest hundredth, of selecting a blue crayon from the second bag is:
a.2/9 b.2/3 c.1/3 d.1/9 e.3/8
A planning committee for a major development project must consist six members. There are eight architects and five engineers available to choose from.I What is the probability of having a planning committee with at least three engineers (rounded off to three decimals)?
A coin is chosen at random and tossed. The result is a head. What is the probability that the opposite face is a tail? Among the three coins, one has heads on both the faces, the second has tails For families with school age children, let the probability that a mother will attend a given PTA (Parent-teacher association) meeting is 0.7, the probability that a father will attend is 0.5 and the probability that (0S=s both will attend is 0.3. what is the probability that (i) at least one of the parents, eni (ii) exactly one of the parents, (iii) at most one of the parents, and (iv) none of the parents (a) 2.0 slq orit roto2 () 185 ad ot (d) ogbud latigeo orfT 000,012 will attend the meeting? Isioi Wan no nega tnuon onin (b) Atoth the faces, and the third has a head on one face and a tail on the other. on bein is chosen at random and tossed. The result is a head. What is the a
Assume that we have three coins: The first coin is fair. The second coin is unfair with probability of heads equal to 0.8. The third coin is also unfair with probability of heads equal to 0.3. Consider an experiment involving two successive coin tosses. The result of the first stage of the experiment is determined by the toss of the fair coin. The result of the second stage of the experiment is determined by the toss of a coin, but suppose that the coin that is used depends upon the result of the toss of the fair coin. Specifically, if the toss of the fair coin results in heads, then the second coin is tossed. Otherwise the third coin is tossed. Let H, and T, be the events that ith toss resulted in heads and tails, respectively. Answer the following questions. Calculate P(H,). Are the events H, and H, independent? Justify your answer analytically.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS