a. Suppose that Natasha, Monim and Rehan a

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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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. Two people have tried robbing in a government office in Bangladesh. They were about to be trapped but escaped successfully. To find the real robber,
the RAB arranged a lie detector test for 50 people who were claiming that they are quiltless. Suppose that the probability of detection of not innocent
people is 0.90 and guiltless people seem to be guilty with the probability 0.01. What is the probability Mr. X is guilty given that the test says he is not ?
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. Two people have tried robbing in a government office in Bangladesh. They were about to be trapped but escaped successfully. To find the real robber, the RAB arranged a lie detector test for 50 people who were claiming that they are quiltless. Suppose that the probability of detection of not innocent people is 0.90 and guiltless people seem to be guilty with the probability 0.01. What is the probability Mr. X is guilty given that the test says he is not ?
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