Math121 Discussion - 13th week

# Math121 Discussion - 13th week - MATH 121 DISCUSSION WEEK...

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MATH 121 DISCUSSION WEEK 13 WORKSHEET 1) There are 3 white socks and 5 black socks in a drawer and you pick two socks at random without replacement. Suppose you define a random variable as the number of white socks you draw. (a) Determine the probabillity distribution of this random variable and organize it in a table. (b) Plot the probability distribution for this random variable. (c) What is the expected value for the number of white socks you would draw if you drew 2 without replacement each time? 2) A roulette wheel has 18 red compartments, 18 black compartments, and 2 green compartments. Suppose you bet \$5 that a ball will land in one of the green compartments. If it lands in a green compartment, then you win \$50. (a) Write a table for the random variable of change in net earnings. (b) Plot the probability distribution for this random variable. (c) What is the expected monetary value you can gain or lose from making this bet? Is it in your best interest to keep making repeated bets? (d) If the answer in part (c) is ”no,” then what is the amount of money that should be paid out to you in order to make repeated bets that the ball will land on a green compartment worthwhile? 3) Now suppose that you are playing a modified version of the roulette game above, and this time, you put up \$8 to play any round. If it lands on green (0 or 00), you win \$50; if it lands

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• Fall '10
• Beaulieu
• Math, Probability, Probability theory, probability density function, Dice

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