A casino owner designs a game in which a regular deck of 52 cards (without the...
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A casino owner designs a game in which a regular deck of 52 cards (without the two jokers) is shuffled and a gambler is allowed to select a card at random. If he selects a K (i.e., a King) he wins $10. If he selects a Q (i.e., a Queen) he wins $(5 + a). If he selects a J (i.e., a Jack) he wins $1. If he selects any other card he loses $(2 + b). a. Find the probability that the gambler wins $(5+a) in a game. Interpret your answer in terms of a relative frequency. b. If we use r to denote the amount of money (in dollars) the gambler could win in a game, find the probability distribution of the random variable r. c. Find the mean and standard deviation of the random variable r. d. Interpret the answer the preceding question. A casino owner designs a game in which a regular deck of 52 cards (without the two jokers) is shuffled and a gambler is allowed to select a card at random. If he selects a K (i.e., a King) he wins $10. If he selects a Q (i.e., a Queen) he wins $(5 + a). If he selects a J (i.e., a Jack) he wins $1. If he selects any other card he loses $(2 + b). a. Find the probability that the gambler wins $(5+a) in a game. Interpret your answer in terms of a relative frequency. b. If we use r to denote the amount of money (in dollars) the gambler could win in a game, find the probability distribution of the random variable r. c. Find the mean and standard deviation of the random variable r. d. Interpret the answer the preceding question.
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Ans Since there is deck of 52 cards without 2 jokers Total number of cards N 50 there are k 4 King c... View the full answer
Related Book For
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
Posted Date:
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