Entries by Hannah Wangui

A group of 3 juniors and 2 sophomores is taking turns to take notes for a class that they are taking together

A group of 3 juniors and 2 sophomores is taking turns to take notes for a class that they are taking together. Each time, they pick a student at random and do not pick that student again. Let X be the number of turns until and including the first time a sophomore is chosen. Write […]

 

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100 people need to be tested for a certain disease.

100 people need to be tested for a certain disease. The chance that a person has the disease is 0.1 for everyone, independent of each other. Instead of testing each person separately, the 100 people are grouped into groups of 10. The blood samples of the 10 people in each group are pooled and tested. […]

 

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This is python.

This is python. A certain customer plays the game 20 times and wins 13 of the bets. You suspect that the customer is cheating! That is, you think that their chance of winning is higher than the normal chance of winning. You decide to test your hunch using the outcomes of the 20 games you observed. Question […]

 

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Assume A and B are events such that: 0<P(A)<1, AND 0<P(B)<1. For each of the following expressions, indicate whether it is: Always True, Sometimes True, Never True

The question is: Assume A and B are events such that: 0<P(A)<1, AND 0<P(B)<1. For each of the following expressions, indicate whether it is: Always True, Sometimes True, Never True Part  m ) P (A^c or B) = P(A^c and B^c) The answer is sometimes true, but I think it’s never true. Can you help […]

 

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