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Mathematics 210 Test # 2 spring,‘"2006 Name (PLEASE PRINT)! Show all Work on this paper for any partial credit. All probability answers should be correct to 4decim\als?~ Please place answers in the blanks provided. You will need your books for Table B and the normal di
if you do not have the tables separately. [Form B] strjbution /
/ Problems 3 and 5 valued
at 5% each. The rest are
valued at 10% 1 You have accumulated
an average of a midterm .grade of points out of apossible 200 points for 4/. —— /.... l.__.I:a. An urn contains 6, red , 5 blue and 9 'or ge marbles.  Two marbles are drawn without replacement.
TSame event as drawing one then drawing fse/ebrnd without replacement] Find the following: avoid“ :: i  f I?! . o i— —
P ( Both are blue) = s O 3060 (4—de01mals) 20 go; ‘ _ _ . PCBlw‘. Wine“:
r b . In a scientiﬁc experiment, there are ’10 «25‘ ,QIDK: P R I, guinea pigs, 6 Which are pregnant. If_ 3 pigs are selected at
)J‘ '3 1‘ . , 1' , » Wir 'r€'' = i” . 4‘“ ', ,3 (D 5; Hi _ g "'j: 2.
random, ﬁnd: P ( all 3 are pregnant) =  i i023 4’ (4decimals) E" ' 5 2i 7:;
I . ‘ .(évaﬂsﬁaipaugk
% 0. ﬁnd: P ( aglgsLone is pregnant) = E ’7 [9%% (4decimals) , _l ,3 2‘4 _ gt ’
i . [IQ/3,. it “whi nﬁ/a “it, ‘ p P: wiloxl‘ﬁllaiffIm _ I ,!T" 'b .29 ‘ fl: II t C5 4 ', ’
'W‘q/vclq' /“ " .  " ' Za ' 7 r1"" .
2. g 9 ﬁgs  «fa,izhi‘uu .bé°.l.(, ‘ .:,25§s+.:,'a%+. ’( UVJ' 5 Midsized . Total _ V .7 ,A f
\_/ 7 .. "
Foreign 90
Domestic I
ran? ' “
Use the given table to ﬁnd: / ‘ I22” . _
a. P (Domestic and Compact ) = @3— (4decimals)   503‘ I " .i \ _ P ( Ger/9: ‘ 1” (igmbci m J w '3 (.0
51b. P (Domestic . Compact) = (4decimals) gm , 1 v 7 ' Z; 3 5 1 Ash
' _ woo “J‘s , ‘11..
.‘ . = "a _   1 I} T" C I’D
(c. P (Compact  Domestlc) (4 demmals)  .. 23% V _ (30)
d. P (Domestic or Compact) = , Bar’s.) / (4decimals) F “I :2" ‘9‘ F ~ g "I + a 5' we 35? 5 i
.3 51'»— {Six " it"? 3°} 5/ (4decimals) . '55“
e. If two vehicles are chosen at random, ﬁnd P (both are Domestic) = r '3?" 5" ”"" I' .7 ’7 ° 0 D
26?) 7‘ . \In a certain city. the probability that a car will be stolen and found within one week is .0008 , The
probability that a car will be stolen is i .001,‘8 the probab'lity that a stolen car will be found in one week.
I i I O a; 2:: .. . “ ” . (4decimals) ~ . . I. ._. _. /  i. e. P (found I stolen) = , if,” a .1775." ’2 g a :m— \—
x: F Consider the following probability distribution: Find: ,u = 2N 25'35; (4decimals)
y: f One thousand tickets are sold at $1200 each for a color television valued at $300.00 , What is the I
’ " pected value [mean] of the ain if a person purchases one ticket? ' Q10 P 9:“) ' " " a. “700 dart. ' M127
' "iv/N3 ~ ’OIﬁﬁi—u’n “1/ . é >< » P L . » . If n= 12 and p = .6 , .use TableB to ﬁnd the following probabilities: a.P(x=7)=__Z£L_ b.P(x_<_ 5)= I57 c_P(3<x<8)= c  g 5’. L/ ' 5 ‘72. n 3 q E) (I, / "IOI+.D‘I?~".DIZ+ ,eoz/oogqaiqg _ZZ{?"Q7>.;2;
, f 1 2/ If the probability that 5a rocket hits within 100 yards_of its projected target is .84. _, ﬁnd the probability that if
6 rockets are ﬁred, exactly 4 hit within 100 yards of the target. ' [Use the Binomial Probability Formula to
compute this probability, Of course the rocket ﬁrings are independent]  {4‘1‘u / "l: (e ' Il'8'“l?'W l _,4 L I.
7': ,B‘i ,(p 4:? 'q' J54 a“? o (4decirna1s)
 \ ’ 5'" l .
I’ «My 7% 2,: ’5 ' agar”) ‘.0’2.ng : a l0! l2
, a bL/A In a suwey’ 73% Of pe°ple say that they own an answering machine. If 500 'cans are selected at
random, ﬁnd the mean numbﬂud’ﬂf standard deviation of answering mac ' espwned by this sampla
# . = (4—decimals) :7 = (4decimals) 
* m pigment} V 'ﬁ‘36’0’6 _ p . . p:973  ' Let 2 be the standard normal variable. Find the following probabilities: b. P(z.> 1.93)= ',Q’E;<o“ié, a. P(1.86<z<2.01)= new? 7, 10..= The American Automobile Association reports that the average time it takes to respond'to an emergency \oall is 24 minutes. Assume the variable is approximately normally distributed with a standard deviation of
4.9 minutes. Find the probability that a randomly selected emergency has a response time of greater than _30 minutes. /. I
g m a "l A? ‘
j 11. ,To qualify for a police academy, candidates must score in the top 15% on ‘a general abilities test. The test ‘nas’ a mean of '200 and a standard deviation of 25 . Find the lowest possible score to qualify. Assume that the
_ test scores are normally distributed. ’ [é . 3.53;); V KKW
if: > E; “‘7 _1 . 4
ﬂ“; " 2:0 , 77.} r '_ "F A . i "5“ ' .
f! L ’ i,’ I N j k  _ 2:. 39
k If)?“ a ...
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 Fall '06
 smith?
 Normal Distribution, Probability, Standard Deviation, binomial probability formula, stolen car

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