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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 thosewho 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.. Hereis the Venn Diagram ofasample 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) noneofthese 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 probabilitiesofthe 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 .Cﬂareﬁtnetional a  r_ 0t functional"?
(a) .0059 (c) .904 (d) 1/8 (e) none of these
13.. What is the probability that all three componentsare 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  '
2 022. 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‘as, and 35% 25—8 seniors. From records of W; ~* w; 4. weak _ «site the basic Stalled.2 course 20% get Xg'oatot’nhe sophomores who take discourse 30%.”get‘A'5; out on: efﬁsesiesiers LG. enemas5e 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 TrueFalse 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 probability113$: the student getsatleast one cczrect answer? ' (a) 1/2 (b) 7/3 (6)1’8/321 (e) none Of'these ...
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 Spring '08
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