AMS 5 Chapter 13-14: Chapter 13 and 14 Review Exercises

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Applied Math and Statistics
Yonatan Katznelson

AMS 5 Practice 12 532017 (8:009:05) Chapter 13, 9, 10, 12 9. A die is rolled 10 times. Find the chance of (a) getting 10 sixes (b) not getting 10 sixes (c) all the rolls showing 5 spots or less 9a) (16)^10 9b) 1(16)^10 9c) (56)^10 10. Which of the two options is better, or are they the same? Explain briefly. (i) You toss a coin 100 times. On each toss, if the coin lands heads, you win 1. If it lands tails, you lose 1. (ii) You draw 100 times at random with replacement from [1][0]. On each draw, you are paid (in dollars) the number on the ticket. 10) Option ii, since you arent losing money in that game, even though the odds are the same in both scenarios. 12. You are thinking about playing a lottery. The rules: you buy a ticket, choose 3 different numbers from 1 to 100, and write them on the ticket. The lottery has a box with 100 balls numbered from 1 through 100. Three balls are drawn at random without replacement. If the numbers on these balls are the same as the numbers on your ticket, you win. (Order doesnt matter.) If you decide to play, what is your chance of winning? 12) .0001; 1100 * 199 * 198 = 1970200 ~ .0001 Chapter 14, 1, 2, 3, 5, 7
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