HW01 - HW 1 due Thursday 10:00 AM 1 A box contains 3...

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HW 1, due Thursday 09/03/2009, 10:00 AM 1. A box contains 3 marbles: one red, one green, and on blue. Consider an experiment that consists of taking one marble from the box then replacing it in the box and drawing a second marble from the box. What is the sample space? If, at all times, each marble in the box is equally likely to be selected, what is the probability of each point in the sample space? 2. Let E , F , G be three events. Find expressions for the events that of E , F , G , a. at least one event occurs b. both E and F but not G occurs. c. all three events occurs. d. at most one occurs. e. at most two occurs. f. none occurs. 3. The probability that Mary will fail a certain exam is 0 . 6, the probability that Bill will fail the exam is 0 . 5, and the probability of both will fail is 0 . 3. a. What is the probability that at least one of them will fail? b. What is the probability that neither of them will fail? c.
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This note was uploaded on 09/30/2010 for the course STATISTICS 36-217 taught by Professor Jin during the Fall '09 term at Carnegie Mellon.

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HW01 - HW 1 due Thursday 10:00 AM 1 A box contains 3...

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