# test 2 - 1 Mathematics 210 Test 2 spring,‘"2006...

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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 4-decim\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’ (4-decimals) E" ' 5 2i 7:; I . ‘ .(évaﬂsﬁaipaugk % 0. ﬁnd: P ( aglgsLone is pregnant) = E ’7 [9%% (4-decimals) ,- _l ,3 2‘4 _ gt ’ i . [IQ/3,. it “whi nﬁ/a “it, ‘ p P: wiloxl‘ﬁllaiff-Im _ 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 Mid-sized . Total _ V .7 ,A f \-_/ 7 .. " Foreign 90 Domestic I ran? ' “ Use the given table to ﬁnd: / ‘ I22” . _ a. P (Domestic and Compact ) = @3— (4-decimals) - - 503‘ I " .i \ _ P ( Ger/9: ‘ 1” (igmbci m J w- '3 (.0 51b. P (Domestic .| Compact) = (4-decimals) 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.) / (4-decimals) F “I :2" ‘9‘ F ~ g "I + a 5' we 35? 5 i .3 51'»— {Six " it"? 3°} 5/ (4-decimals) . '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:: .. . --“ ” . (4-decimals) ~ .- . 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; (4-decimals) 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 ~ ’OI-ﬁﬁi—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 (4-decirna1s) - \ ’ 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 = (4-decimals) - * 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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test 2 - 1 Mathematics 210 Test 2 spring,‘"2006...

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