1. Suppose a survey was done in three states on the Covid-19 pandemic situation. Of the total population of the three states, 25% live in state X, 45% live in state Y, and 30% live in state Z. In state X, 20% of the citizens have been infected with Covid-19, in state B, 10% of the citizens have been infected with Covid-19, and in state C, 15% of the citizens have been infected with Covid-19. Let X represents the event that the citizen is from state X, Y represents the event that the citizen is from state Y and Z represents the event that the citizen is from state Z. Let C represents the event that the citizen has been infected with Covid-19. a) Find the probability that a randomly selected citizen has not been infected with Covid-19 and lives in state X and find the probability that a randomly selected citizen has been infected with Covid-19 and Given that a randomly selected citizen has been infected with Covid-19, find the probability that the selected citizen is from state Y.

1. Suppose a survey was done in three states on the Covid-19 pandemic situation. Of the total population of the three states, 25% live in state X, 45% live in state Y, and 30% live in state Z. In state X, 20% of the citizens have been infected with Covid-19, in state B, 10% of the citizens have been infected with Covid-19, and in state C, 15% of the citizens have been infected with Covid-19. Let X represents the event that the citizen is from state X, Y represents the event that the citizen is from state Y and Z represents the event that the citizen is from state Z. Let C represents the event that the citizen has been infected with Covid-19. a) Find the probability that a randomly selected citizen has not been infected with Covid-19 and lives in state X and find the probability that a randomly selected citizen has been infected with Covid-19 and Given that a randomly selected citizen has been infected with Covid-19, find the probability that the selected citizen is from state Y.

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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