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Chapter 8 Review Lesson Lesson Objectives • SWBAT review Chapter 8 concepts such as binomial and geometric probabilities • SWBAT practice multiple choice strategies • SWBAT analyze and correct (if need be) their partner’s work on multiple choice questions Directions 1. Each student will have a partner, a white board marker and share a white board with their partner. 2. Partner A will solve a problem on the white board on his/her own 3. After partner A finishes, partner B checks the work, discusses the answer with partner A and makes any necessary corrections in their color pen. 4. Both partners hold up the board after they have agreed on the answer. 5. The teacher will check the answer & give out “points”. 6. Partners will switch roles. 1. Which of the following is not a condition for a geometric setting? A) There are only 2 outcomes for each trial B) The probability of success is the same for each trial C) There are a fixed number of trials D) The variable of interest is the number of trials required to reach the first success E) The trials are independent Yates, Moore, Starnes (2006) 2. Suppose we have a binomial random variable X with probability p. The probability of exactly 3 successes in 8 trials is 8C3(p)3(.45)5. What is the mean and standard deviation of X? A) B) C) D) E) Mean = 4.4; Standard Deviation = 0.2475 Mean = 3.6; Standard Deviation = 0.2475 Mean = 4.4; Standard Deviation = 1.4071 Mean = 3.6; Standard Deviation = 1.4071 Not enough information to answer 3. A baseball recruiter visits a high school where a player has a batting average of 0.450. What is the probability that the recruiter won’t see the player get a hit in three at bats? A) B) C) D) E) (.45)2(.55) (.55)2(.45) (.55)3 2 3C1(.45) (.55) 3 3C3(.45) (.55) 4. The probability that any given student likes candy canes is 0.85. In a random sample of 6 students, what is the probability that at least 5 of them like candy canes? A) B) C) D) E) 0.2235 0.3772 0.3993 0.6229 0.7765 5. The probability that any given student likes candy canes is 0.85. In a random sample of 6 students, what is the probability that at most 3 of them like candy canes? A) B) C) D) E) 0.0415 0.0473 0.2235 0.7765 0.9941 6. In a snowball fight, the probability you get hit with an opponent’s snowball is 0.29. Assuming each throw is independent, what is the probability that they hit you for the first time on the 5th throw? A) B) C) D) E) 0.0020 0.0050 0.0737 0.2900 0.7100 7. In a snowball fight, the probability you get hit with an opponent’s snowball is 0.29. Assuming each throw is independent, what is the probability that it takes more than 3 throws to hit you? A) B) C) D) E) 0.0597 0.1462 0.3579 0.5041 0.6421 8. In a snowball fight, the probability you get hit with an opponent’s snowball is 0.29. Assuming each throw is independent, what is the average number of throws needed to hit you for the first time? A) B) C) D) E) 1.40 3.45 5.00 9.20 Cannot be answered since there is no n given 9. A random sample of 15 people is taken from a population in which 40% love holiday music. What is the probability that exactly 6 individuals in the sample love holiday music? A) B) C) D) E) 0.0041 0.2066 0.3902 0.5000 0.6098 10. The probability that you get exactly what you want for the holidays is ¼. In a random sample of 6 people, what is the probability that 5 or more will get exactly what they want? A) B) C) D) E) 1/4096 3/4096 4/4096 18/4096 19/4096 11. The probability that you get exactly what you want for the holidays is ¼. In a random sample of 6 people, how many people are expected to get what they want? A) B) C) D) E) 1 1.5 2 3 4 12. What does the histogram of a binomial random variable cumulative distribution look like? A) B) C) D) E) Skewed Left Skewed Right Symmetric It depends on p It depends on n 13. When can a normal distribution be used to approximate a binomial distribution? A) When p is close to 1 B) When p = 0.5 C) When np < 10 and n(1-p) < 10 D) When np > 10 and n(1-p) > 10 E) Never 14. A difference between a random variable and a probability distribution is… A) A random variable does not include the probability of an event B) A random variable can only assume whole numbers C) A probability distribution can only assume whole numbers D) All of the above E) None of the above McGraw Hill Higher Education (2008) Answers • • • • • • • 1. 2. 3. 4. 5. 6. 7. C C C E B C C • • • • • • • 8. B 9. B 10. E 11. B 12. A 13. D 14. A References McGraw Hill Higher Education. (2008). Statistical techniques in business and economics. Retrieved on December 13, 2009 from http://highered.mcgrawhill.com/sites/0073030228/student_view0/chapter6/ multiple_choice_quiz.html Yates, D. Moore, D. and Starnes, D. (2006).The practice of statistics. W.H. Freeman and Co: New York, NY.