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Unformatted text preview: MATHEMATICS 151 SECTION A03
Test 1 Version 1
October 8, 2008 5/7 x"
Name: K g" (f) \ Student No :
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Signature:
Instructor: J .S. Swarts Duration: 45 minutes > TO BE ANSWERED ON THE PAPER AND N.C.S. ANSWER SHEETS. STUDENTS MUST COUNT THE NUMBER OF PAGES IN THIS EXAMINATION PA PER BEFORE BEGINNING TO WRITE, AND REPORT ANY DISCREPANCY IMME—
DIATELY TO THE INVIGILATOR. THIS QUESTION PAPER HAS 4 PAGES OF QUESTIONS plus COVER. Instructions: 1.
2. Use HB (or softer) pencil to blacken completely the appropriate circles on your answer sheet. On your answer sheet, print and encode your student number (columns A — G or A F), and your
last name (left justiﬁed) followed by a space and your first name. . The Sharp EL—SIOR calculator is permitted; calculator memories must be cleared just before the examination begins, No other aids such as books, notes, formula lists, or scratch paper are allowed. . Questions I through 7 are multiple—choice questions and are each worth 2 marks. Code your answers on the green answer sheet provided. For questions requiring numerical answers, the 10 choices are
listed in numerically increasing order. Choose the value that is nearest your (unrounded) answer.
If and only if your (unrounded) answer is equidistant from the two nearest choices, choose the
larger of these two choices. For veriﬁcation purposes, show all calculations on your question paper.
Unverified answers may be disallowed. . Questions .8 and 9 are fullanswer questions. For each of these questions, write out your solution carefully and completely on the examination paper, using backs of pages if necessary. Marks will
be deducted for incomplete or poorly presented solutions. . Maintain your green answer sheet hidden under your question paper during the examination period. . Submit your question paper with your green answer sheet slipped inside your paper. Number of correct multiple—choice answers : _..._.__ X 2 2 Score for the fullanswer questions : Maximum score is 21. Total Score : 1. An urn contains eight White balls and two green balls. A sample of three balls is selected at random.
What is the probability that the sample contains at least one green ball? (A)0.2 (B) 0.25 (0)03 . (D) 0.35 (E) 0.4
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~: L“) > "‘ ‘7 . ' ’ ‘3 " a 2. What is the probability that an arrangement of a, b, c, d, e, f has a occurring somewhere before b? (A) 0.15 (B) 0.2 )0. 25 (D) 0.3 (E) 0.35
(F) 0.4 (G) 045 Q; (I) 0.55 (J) 0.0
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(F) 0.0 @077; (H) 0.8 (I) 0.9 (J) 095
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1 l(t {F3 w CLb “E “v ’ "74)»: / 4. A company manufactures stereo components. Experience shows that defects in manufacture are
independent of one another. Quality control studies reveal that 2% of CD players are defective, 3%
of amplifiers are defective, and 7% of speakers are defective. A system consists of four components: a
CD player, an ampliﬁer, and two speakers. What is the probability that among the four components
of a system exactly one is defective? (A) 0.1 (B) 0.15 (C) 0.2 (D) 0.25 (E) 0.3 (F) 0.35 0.4 (H) 0.45 (I) 0.5 (J) 055
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(o.ﬁé’>(<~7~77;73(OCl3’3<"<5 CT“? > 2:0 (BS‘IS 5. A computer manufacturer offers a computer with a choice of four types of monitors, two types of
keyboards, and three types of hard drives How many different computers are offered? (A) 5 (B) 10 (o) 15 (D) 20 E) 25’“?
(F) 30 (G) 35 (H) 40 (I) 45 JM
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C; 6. In how many ways can a group of 15 students be assigned to dorms A, B, and C, with 5 assigned
to dorm A, 4 to dorm B, and 6 to dorm C? (A) 50 000 (B) 60 000 (o) 70 000 D / 0 (E) 90 000
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J [\D 7. An urn contains 25 numbered balls, of which 15 are red and 10 are white. A sample of 5 balls is to
be selected. How many samples contain at least 4 red balls? (A) 5000 (B) 10 000 , C) 15 000 (D) 20 000 (E) 25 000
(F) 30 000 (G) 35 000 mamo/ (I) 45 000 (J) 50 000 ”Exact/ﬂ a] “i Cgﬁwh : (Bigger s f: 13 \ “’>
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Nessa 7cm = lb 533’ 5’ 8. A merchant surveyed 400 people to determine the way they learned about an upcoming sale.
The survey showed that 180 learned about the sale from radio, 190 from television, 190 from
the newspaper, 80 from radio and television, 90 from radio and newspapers, 50 from television and
newspapers, and 30 from all three sources. ‘ (a) How many people learned of the sale from newspapers or radio, but not both?
(b) How many people learned of the sale from radio or television but not the newspaper? (c) How many people learned of the sale from exactly one of the three media?
’ [1 mark each} 9. Three cards are drawn, without replacement, from an ordinary deck and the colour of the cards are observed.
(a) Draw a tree diagram that represents the stages of the experiment. [2 marks]
(b) Find the probability that exactly 2 of the cards are red. [2 marks]
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 Spring '11
 stephenlang
 Calculus

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