A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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  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.

 

  1. 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.
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.
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Transcribed Image Text: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. 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.
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