Final-Summer-2004-Abu-Khuzam-Lyzzaik

Final-Summer-2004-Abu-Khuzam-Lyzzaik - 16'693 a Q—-3...

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Unformatted text preview: 16'693 . a Q— -3 ‘— 13.:13‘. 14.3004 MATHEMATICS 20-4 NAME ................. -_ ‘_“e : '2. Hours FINAL EXAMINATION 113,—“; ———————————————— -- W“ \ Summer 2004 Circle your section number : 1 (10:00, Dr. AbU'lflluLdLil) 2 (1 1:15: D11 Abu-Klmzam] 3 ( 8:45 , Dr. Lyzzaik) PROBLEM GRADE PART} 1 ..... -_ ,1 a 2 ..... -- s 3 ————— w 7 4. ----- —— s 5 FFFFF __ 13 PART II 6-20 ..... —— TOTAL. ————— -— so -._._.—.-I--—"" lgnu‘s ,\ Q \ WEhsI‘T‘h L l B i: A R Y or mama-I C ‘- PART 1. Answer each of the following problems in the space provided for each pi’oblem ( Problem 1 to Problem 5). (40 points) 1. One card is to be drawn at random from a deck of 5’3 cards. Find the probability of selecting an ace or a bean. [ 4 points] .1 2. Lei fog/1:) 23:3 + x' points. — 3): + 61 +10 , Delemiine the location and nature of all critical [ 8 points] (3) Find f): (b) Flnd f 1 (0) Find f” II R l f . . __ 2 “.Le‘ J (Adi) —5.1’ 111 34141:? +9. [ 2 points] [ 2 palms} [ 3 points] L 4,‘ Sketch and find the area 0fthe region bounded by the parabola j' = 4 — A" and the line f." = 3x . [ 8 points] K. , A 1 ‘ th'aluats the folmwmg unegrais. - (a) J4JV€VL d): i 4 pOXIItS] [ 5 points] PART II. Circle the correct answer for each problem of part B ( Problem 6 to Problem 20) in the TABLE PAGE 1. [4 points for each correct answer; -1/2 point penalty for each wrong answer]. (60 points) [’1 o 0‘ 6. Let A:l0 l 0 .Then {1 o —1) (a) A': =A (b) A9:A (c) A9 : 0 (zero n‘ratrix} (d) A is no! invertible (e) none of the above [4 points] 7. The number of ways in which 3 persons can be chosen from 10 persons so that one is a chairman: the second 15 a vice chairman and the tlnrd 15 a secretary is. (3) 10C; (b) 10:“ (C) 20133 (Ell 3”: (e) none ofthe above [4 nouns] (6) none ofthe above 1_ 4 poner ‘“ ‘l/zi: ‘5‘ iii/1 (e) none of the above [ 4 points] (6] none of the above [ 4 points] ’3 i A box contains in mathematics. books and 4 1115101? books. 4 books are. Lo be seiected at random from the box wmhoui replacement. \N-"hai is the probability mat the fll‘Sl book \x‘i'l‘i be a iiiatheiiiaiics book and the see id and third are illSiOi'}-‘ books? (a) 'J 4 I (b) i: ‘ “ Ci 0,}. , (d) O“: 1 ii A far; coin is to be dipped few times The. probability that exactly 5 heads will occur is: {a} 0.5- “ _ {L} 0.: (C‘) 06??" (d1 0 75 {:1 none oz'fne abO‘ce 4 13011115] ‘r X — 57 Then {WU} is aqua] u): 30 (d) 5‘0 (e) none ofthe above [ 4 points] 14,1,er _]r()c_.}.';} :— 21" I . ‘ .' 3 -" — 5}: . Then the point (1.2-4) is: {at} a relative mmunum pouu ‘ j a relanve maximum poun (c) a saddTe point (d) none ofthe above [4 points] (1 . . . r . r ‘ » 2 - . . . 1:. The esumated Value of the defimle mlegra; — flair usmg the trapezordal rule wnh 11:41. (subdividing into 3 equal sublntervals) i5. :9 r] E [4 points] 16.. The marginal c051 (in dollars) ofproducing a product is .MC = 83’ -r 800 r where A’ is the number of products produced. It is known that {he lota‘i cost equa'is 5:60:000 when 40 units are produced (it: C(fik }=60000'I. Then The 101a} 8051 funcuon is 1 Cm: define; or: grew—41.500 cm: 1A3~800x+80,000 Cm: 4x2—800x-L21.600 none ofthe above [4 points] \ 1“: h... | O — 2 I Then the detennmam ofthe matm ofcofaclors AC 15 equal to: O 0 j? (E14) 4 (b) 72 (c) 16 (d) 64 {e} none ofthe abmre [ 4: points] (a 27 CW 1 3g 3h 31' 18‘ 1f A=‘ (4" (-3 f . suchthat \Ai=3:tl1en j3a+d 3b-‘-€ 3C+f§ is equalio: i r ' Q \g h z/J ‘ 5a SE) .;C ‘ (at 15 (b) 3:35 (c) -45 (d) 45 (6) none of the above { 4 points] 19 Giver. a random variable X which as nonnally distfibuted , with mean u =130 and Standard deviation 0‘ = 5‘ . The probability P (128 < X <142) is; (a) 0.1824 (b) 0.519 (c) 0. (d) C'. (e) (7)1 '1‘ ON I\ M I.) w Q u: m '1: [4 points} 20. Let : 111(k).) + 2x *1). Then is equa] 10' (all I (b; 2 {C} G (d) 3 O (57 none ofthe above { 4 points] e u C :m m 0 N 15 r a .d n a ..L S B rea Under Lb. j __.'1 ...
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This note was uploaded on 01/02/2011 for the course MATH 204 taught by Professor Romyarbid during the Three '10 term at Notre Dame AU.

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Final-Summer-2004-Abu-Khuzam-Lyzzaik - 16'693 a Q—-3...

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