Unformatted text preview: h X,Y , for two random variables X and Y . (a) Find the distribution functions f X for X and f Y for Y . (b) Are X and Y independent? (You must give a correct reason for your answer.) h X,Y Y=1 Y=0 Y=+1 X=1 1/6 1/6 X=0 1/3 X=+1 1/6 1/6 4. A deck of cards has 52 cards and 13 of these cards are spades. (a) I take seven cards at random from the deck. What is the probability that I get exactly three spades? (b) I take a card at random from the deck, note whether it is a spade, and put it back. If I do this seven times, what is the probability that I get a spade exactly three times? Suggestion : Think of spade and nonspade like bad and good. END OF EXAM...
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 Fall '01
 Bender
 Math, Binomial, Probability theory, Playing card, Cumulative distribution function, Suit, Card game

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