(b) The probability for a person in a certain village being infected by Covid 19 virus is 0.7. A total of 20% of the people who have been infected by the Covid 19 virus are free from any symptoms. While the total of 10% of those who are not infected do show the symptoms of Covid 19 virus. (i) Construct a contingency table for the events. (ii) What is the probability that a villager is free from any symptoms. (iii) A villager has been tested and is free from any symptoms. What is the probability that he has not been infected by Covid 19?

(b) The probability for a person in a certain village being infected by Covid 19 virus is 0.7. A total of 20% of the people who have been infected by the Covid 19 virus are free from any symptoms. While the total of 10% of those who are not infected do show the symptoms of Covid 19 virus. (i) Construct a contingency table for the events. (ii) What is the probability that a villager is free from any symptoms. (iii) A villager has been tested and is free from any symptoms. What is the probability that he has not been infected by Covid 19?

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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Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table. Reaction None Mild Strong Column Total Within 5 Minutes After 5 Minutes 391 65 44 500 66 341 93 500 Row Total 457 406 137 1000 Let's use the following notation for the various events: W= washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.)
14) -5 – 8v² = -111
8(c – 9) = 6(2c – 12) – 4c -