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Answers to Sample Exam 1 - STT 315 Sample Multiple Choice...

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Unformatted text preview: STT 315 Sample Multiple Choice Problems for Exam 1 Chapter 2 1 -_ 3. Suppose it is lcnown that 40% of the people who inquire about investment opportunities at a brokerage house end up purchasing stock, andrﬁﬁn/u end up purchasing bonds. It IS also know that 28% of the inquirers end up getting a portfolio with both stocks and bonds. A person is selected at'iandom from those-who make. inquiries. 1 . What is the probability that she or he will get stocks or bonds 0., open any portfolio)? (8) .20 (b) .90 p (d) .80 (e) none of these 2. Are the events “purchase stock" and "purchase bonds" independent events? (a) Yes 3- What is the FrObability that the selected person will get bonds given that he’she gets 3 ,s ‘ -. ' -_ _ (a) no (b) .90 (c) .68 (e) nonenf'these '4:-- 9.. Here-is the Venn Diagram ofa-sample space of 23 eguallg likely outcomes. Events A, B and C are depicted. ,4. P(AUC)_ = (39.13.23 p5?) 1023 ' (an 5. ME AB): (5)1123 .{b) 1n (0)03 (e) noneofthese 6. P I = (3)177 8/? (d) 2!? (e) none of these 7. P(A n B m C) = (a) 20/23 (b) i'8l23 (d) 12/23 (6) none ofthese g. 13(1—4 n E n E) = " Cb} 21/23 (6) 1 (d) 5123 (g); none ofth'e'se 9..P(B ] C) = (b) m (0)0 (5)1123 (e) none-ofthese ﬂ If PM) = 0.4, P(B) = 0.5, and P(A m3) = 0.3, 10. then P(A U B) = a) 1.2 b) 0.9 d) 0.8 6) none ofthese a) 0.2 c) 0.5 d) 0.6 e) none ofthese a) 0.6 b) 0.3 c) 0.5 e) none ofthese 13. are A and B independent? 1Lthen P(Aﬂ§) = 12. then Hing) = rmmr...___._.._ .. .2.....,,._. I4 - 15. At the Paris airshow, suppose that the following 65 aircraft sales resulted. Suppose that a sale is chosen at random from the 65 sales. Manufacturer Purchaser Boeing Airbus Finnair O 12 T AM (Brazil) 8 5 Nonhw'est Airlines 12 8 British Airways 10 1'0 14. What is the probability that it is either by Boeing or 'to TAM? (a) 43/65 (1)") 30165 {0) 3/65 - _(e) none of these (a) 3/13 (s) so. (c) 8/65 (d) 35/65 (e) none ofthese 1:6. Given the sale was :to TAM, ﬁnd the pro.- ' ' hat'the sales was by Boeing. (b) 3/30 (c) ms (at) 35/65 (e) none of these 17 - 19.29. device has three components Cl, C2, C3 and the device works as long as at least one of the components is functional. The probabilities-ofthe components being functional are 0.9, 0.8, and 0.7. Assume independence. I I I 17. What is the probability of the event "Cl and .Cﬂare-ﬁtnetional a - r_ 0t functional"? (a) .0059 (c) .904 (d) 1/8 (e) none of these 13.. What is the probability that all three components-are not ﬁlnctionai? - . (a) .976 (b) .001 (c) 1/8 (d) .0225 to) none of these ' - 19. What is the probability that the device will work when needed? - (a) .667 (a) .343 (c) .392 (e) none ofthese 15. Given that a sale was by Boeing, ﬁnd the probability that it was - ' 2 0-22. Suppose that 30% of the bottles produced in a certain plant are defective. If a bottle is defective, the probability is 0.9 that an inspector will notice it and remove it from the ﬁlling line. If a bottle is not defective, the probability is 0.2 that the inspector will think that it is defective and remove it from the ﬁlling line. 20. What is the probability that a randomly selected bottle ‘ ---- ved from the ﬁlling line? a) 0.27 b) 0.06 d) 0.55 e) none of these 21. Ifa bottle is removed from the ﬁlling line, what is the probability th ' ' defective? a) 0.90 b) 0.74 c) 0.22 e) none of these 22. If a customer buys a bottle that has not been removed from the ﬁlling line, what is - - e .- - . .' 't that it i defective? a) 0.10 b) 0.08 c)0.06 d) 0.12 , J _ @mmmm messen- eae ﬁWﬁear‘a-s, and 35% 25—8 seniors. From records of W; ~* w; 4. weak _ «site the basic Stalled-.2 course 20% get Xg'oat-ot’nhe sophomores who take discourse 30%.”get‘A'5; out on: efﬁsesiesiers LG. enemas-5e 40% get it’s. (d) 29.5% (a) .30 i stndents who take the-"course get A's? (a) 25% (b) 16% (c) 32% (e) none of these . 2%. Given that a student received an A in thvhat is the probability that she or he is a senior? (b) .90. (c) .2500 (e) .349 25 7'36. Five True-False questions are given to a student. Suppose that the student selects his answers by 5 independent tosses ofa fair coin with say, H = True, T = False. (This es a model for guessing.) ' 25. What is the probability'that:the.smdent gets all ﬁve questions correct? .n . (a) 112-: (b) 1’4 (0)1/8 (d) “15 (e) none of these‘ ysz 26. What is the probability-113\$: the student gets-atleast one cczrect answer? ' (a) 1/2 (b) 7/3 (6)1’8/321- (e) none Of'these ...
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