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14111cwir9ws.5 - (d An experiment consists of casting two...

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15. Complete the following tree diagram and use it to answer the following questions: A B C D E E E F F D F D 0.25 0.4 0.8 0.5 0.1 0.15 0.6 0.3 (a) Find P ( D | C ) (b) Find P ( E ) (c) Find P ( B | E ) (d) Find P ( A F ) 16. Determine whether each statement is true or false. (a) Given any two events A and B , P ( A B ) = P ( A ) · P ( B ). (b) Let the random variable X represent the number of times a student takes a driving test before passing. X is an infinite discrete random variable. (c) The numbers 1, 2, and 3 are written separately on 3 pieces of paper. An experiment consists of drawing a sample of two slips from the bowl and observing the numbers. This experiment has 3 events.
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Unformatted text preview: (d) An experiment consists of casting two fair dice and recording the sum of the numbers appearing uppermost. The sample space for this experiment has equally likely outcomes. (e) The sample space associated with an experiment is given by S = { a,b,c,d,e } . The events E = { a,b } and F = { c,d } are mutually exclusive. Hence the events E c and F c are mutually exclusive. (f) We say that a game is fair if the expected value of each player’s net winnings is zero....
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