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a. Suppose that Natasha, Monim and Rehan are serving in a restaurant on roster shifting. On a working day, Natasha, Monim and Rehan are responsible for doing the job 20%, 45% and 35% time respectively. Given that, the probability of breaking a dish during wash for Natasha, Monim and Rehan is 7% , 20% and 43% respectively. Find the total probability of a dish that can not be broken in a day. b. In Covid-19 pandemic, one out of every 500 people of Dhaka city were affected during this month. If a person is affected with the virus, the test reports are 75% of the time positive, and 4% time if the person is not affected (This 4% is called false positive). Find the probability that the person has virus given that they have been tested positive.

a. Suppose that Natasha, Monim and Rehan are serving in a restaurant on roster shifting. On a working day, Natasha, Monim and Rehan are responsible for doing the job 20%, 45% and 35% time respectively. Given that, the probability of breaking a dish during wash for Natasha, Monim and Rehan is 7% , 20% and 43% respectively. Find the total probability of a dish that can not be broken in a day. b. In Covid-19 pandemic, one out of every 500 people of Dhaka city were affected during this month. If a person is affected with the virus, the test reports are 75% of the time positive, and 4% time if the person is not affected (This 4% is called false positive). Find the probability that the person has virus given that they have been tested positive.

A First Course in Probability (10th Edition)
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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a. Suppose that Natasha, Monim and Rehan are serving in a restaurant on roster shifting. On a working day, Natasha, Monim and Rehan are responsible for doing the job 20%, 45% and 35% time respectively. Given that, the probability of breaking a dish during wash for Natasha, Monim and Rehan is 7% , 20% and 43% respectively. Find the total probability of a dish that can not be broken in a day. b. In Covid-19 pandemic, one out of every 500 people of Dhaka city were affected during this month. If a person is affected with the virus, the test reports are 75% of the time positive, and 4% time if the person is not affected (This 4% is called false positive). Find the probability that the person has virus given that they have been tested positive.
Transcribed Image Text:a. Suppose that Natasha, Monim and Rehan are serving in a restaurant on roster shifting. On a working day, Natasha, Monim and Rehan are responsible for doing the job 20%, 45% and 35% time respectively. Given that, the probability of breaking a dish during wash for Natasha, Monim and Rehan is 7% , 20% and 43% respectively. Find the total probability of a dish that can not be broken in a day. b. In Covid-19 pandemic, one out of every 500 people of Dhaka city were affected during this month. If a person is affected with the virus, the test reports are 75% of the time positive, and 4% time if the person is not affected (This 4% is called false positive). Find the probability that the person has virus given that they have been tested positive.
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