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**Probability & Statistics Review**

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11-1 Lesson 1. Six different books will be displayed in the library window. How many different arrangements are there? 2. The code for a lock consists of 5 digits. The last number cannot be 0 or 1. How many different codes are possible? 3. The three best essays in a contest will receive gold, silver, and bronze stars. There are 10 essays. In how many ways can the prizes be awarded? 4. In a talent show, the top 3 performers of 15 will advance to the next round. In how many ways can this be done?

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11-2 Lesson 5. In a box of 25 switches, 3 are defective. What is the probability of randomly selecting a switch that is not defective? 6. There are 12 E’s among the 100 tiles in Scrabble. What is the probability of selecting all 4 E’s when selecting 4 tiles? 7. The table shows the results of rolling a die with unequal faces. Find the experimental probability of rolling 1 or 6.

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11-3 Lesson 8. Find the probability of rolling a number greater than 2 and then rolling a multiple of 3 when a number cube is rolled twice. 9. A drawer contains 8 blue socks, 8 black socks, and 4 white socks. Socks are picked at random. Explain why the events picking a blue sock and then another blue sock are dependent. Then find the probability. 10. Two cards are drawn from a deck of 52. Determine whether the events are independent or dependent. Find the indicated probability. A. selecting two face cards when the first card is replaced B. selecting two face cards when the first card is not replaced

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11-4 Lesson You have a deck of 52 cards. 11. Explain why the events “choosing a club” and “choosing a heart” are mutually exclusive. 12. What is the probability of choosing a club or a heart? The numbers 1–9 are written on cards and placed in a bag. Find each probability. 13. choosing a multiple of 3 or an even number 14. choosing a multiple of 4 or an even number 15. Of 570 people, 365 were male and 368 had brown hair. Of those with brown hair, 108 were female. What is the probability that a person was male or had brown hair? 16. Each of 4 students randomly chooses a pen from 9 styles. What is the probability that at least 2 students choose the same style?

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11-5 Lesson Use the data set for 1 and 3–6:{9, 4, 7, 8, 5, 8, 24, 5} 17. Find the mean, median, and mode. 18. The probability distribution of the number of people entering a store each day based on past data is given below. Find the expected number of people for one day. Use the data set for 1 and 3–6:{9, 4, 7, 8, 5, 8, 24, 5} 19. Make a box-and-whisker plot of the data in 1. Find the interquartile range. 20. Find the variance and the standard deviation of the data set. 21. Use the standard deviation to identify any outliers in the data set.

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11-6 Lesson Use the Binomial Theorem to expand each binomial. 22. (x + 2)4 23. (2a – b)5

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CS1512 www.csd.abdn.ac.uk/~jhunter/teaching/CS1512/lectures/ 1 CS1512 Foundations of Computing Science 2 Lecture 23 Probability and statistics (4) © J.

CS1512 www.csd.abdn.ac.uk/~jhunter/teaching/CS1512/lectures/ 1 CS1512 Foundations of Computing Science 2 Lecture 23 Probability and statistics (4) © J.

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