6. (3 pts) In an experiment in which a coin is 10. (4 pts) Let P(A) = 0.6, P(B) = 0.5, and P((AUB)") tossed twice, which of the following represents = 0.1. Then P(A | B) = A. 0.20 PCAIB ) = PLANB ) 012 mutually exclusive and collectively exhaustive. events? B. 0.33 P ( B ) 10 15 A. {TT, HH} and {TT, HT} = { TT, HH, HT} C. 0.40 = 0 . 4 B. {TT, HH} and {TH, HT} = D. Not enough information to calculate. C. {TT, HT} and {HT, TH} D. {HT, TH} and {HH, TH} 11.(5 pts) The waiting time at an elevator is uniformly distributed between 30 and 200 7. (3 pts) There are 23/chess players participating seconds. What is the probability a rider must in a weekend tournament. Prices are awardedo wait more than 1.5 minutes? 170 M= TI to the first-, second-, third-, and fourth-place A. 0.6471 = 75 secs 2 30+5 finishers. The number of different ways these B. 0.5294 P( X 2 75 ) 3 0 four places can be filled by those playing is C. 0.4500 2 order is important D. 0.3529 (170) /12 = 4/9 115 A. 8;855 2 3 ! NN P23 B. 14,950 12. (5 pts) The following contingency table shows 46 4 (23- 4 ) ! C. 70,256 2 3 x 22 * 21 x 20 x 1 9x/ the number of customers who bought various 46 D. 212,520 506 brands of digital cameras at Amazon.com and 2 1 Ritz Camera. 8.(4 pts) Consider the following probability Brand Amazon.com Ritz Camera distribution. (0621 2 0 Nikon 42 39 8 2735 2 0 P(X = Xi) 15 Canon 28 30 -2 0.2 4 Sony 33 15 0.1 0 82 75 15 0.3 Other 0.4 85 159 3 Which of the following statements are correct The expected value of X is (1) Given that the camera was purchased at Rit A. - 1.0 - 01 4 - 0 15 + 04 Camera, the probability that it was a Sony B. - 0.1 - 01 1 brand is 0.0436. C.) 0.1 7159 The probability that a camera was Cannon D. 1.0 brand and was purchased from Amazon.co (4 pts) Which of the following is true about the is 0.0814. hypergeometric distribution? (Ill) The probability that a camera was purchas A. The trials are independent and the at Ritz Camera is 0.4622. probability of success may change from trial (IV) Given that the camera was purchased at to trial. Amazon.com, the probability that it was B. The trials are independent and the Nikon brand is 0.2270. probability of success does not change from A. (1) and (11) only. trial to trial. B. (1) and (Ill) only. C. The trials are not independent and the C. (11), (Ill) and (IV) only probability of success may change from trial D. (1) , (11), (Ill) and (IV) only. to trial. E. (11) and (IV) only D. The trials are not independent and the probability of success does not change from trial to trial. Page 3 of 6 MBA 5634 Statistics Midterm Exam13.(5 pts) On a particular production line, the 100 14.(5 pts) Which of the following statements are likelihood that a light bulb is defective is 3%. correct? An outgoing quality inspection is conducted by (1) Population parameters are used to estimate randomly selecting ten light bulbs from a lot of corresponding sample statistics. 10,000 light bulbs. The lot could be shipped out (11) All mathematical operations can be to its customer if no defective light bulb was performed on ratio-scaled data. found. What is the probability that this lot (Ill) A professor's rank (assistant, associate, and could be shipped out? full), as well as salary, represent ordinal data. A. 0.0282 (IV) A respondent to a survey indicates that she B. 0.2626 CO. 7374 = HYPGEOM DIST (01300, 10, drives a Nissan Pathfinder. This is an example of qualitative data. D. 0.0476 (V) The Fahrenheit scale for measuring E. 0.9718 temperature would be classified as interval scale. A. (1), (11), (IV), (V) only B. (11), (IV), (V) only C. (1), (IV), (V) only D. (11), (111), (IV), (V) only E. (1), (11), (III), (IV), (V)