assign03

# assign03 - Math 302.102 Fall 2010 Assignment#3 This...

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Math 302.102 Fall 2010 Assignment #3 This assignment is due at the beginning of class on Wednesday, October 6, 2010. 1. It is known that in a certain population 5% of all men are colour blind and 0.25% of all women are colour blind. Suppose that one person is picked at random from this population and is found to be colour blind. (a) Assuming that men and women each make up the same proportion of the population, what is the probability that this person is a man? (b) If there are twice as many women as men in this population, what is the probability that this person is a man? 2. A manufacturing process produces integrated circuit chips. Over the long run, the fraction of bad chips produced by the process is 20%. Thoroughly testing a chip to determine whether it is good or bad is rather expensive, so a cheap chip test is tried. All good chips will pass the cheap chip test, but so will 10% of the bad chips. (a) Given that a chip passes the cheap chip test, what is the probability that it is a good chip?

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