This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 1
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 ...
View
Full
Document
This note was uploaded on 06/25/2008 for the course MATH 210 taught by Professor Smith? during the Fall '06 term at UT Chattanooga.
 Fall '06
 smith?

Click to edit the document details