STAT 410 Final: STAT410 DOLGOPYAT-D FALL2004 0101 FINAL EXAM

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Final test. (1) (a) how many di erent letter arrangements can be made from the letters probability? (b) how many of those arrangement have both bs after o? (2) poker dice is played by simultaneously rolling 5 dice. Find (a) ex; (b) vx; (c) distribution of y = x 3. (5) 20 couples attend a party. At the entrance each couple picks two cards from the box containing 20 red and 20 blue cards. (couple keep the selected cards and do not return them to the box. ) If their cards are of the same color the entrance is free otherwise a couple pays $ 10 entrance fee. Let x be the total amount raised at the party. Ex and v x. (6) a die is rolled 200 times. Let x be the sum of the rolls. Compute (a) ex; (b) v x; (c) p (690 < x < 710).

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