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Print Test 1024.2016 PRINTABLE VERSION Practice Test 4 studySoup tudy Soup You scored 100 out of 100 Question 1 YWe also discuss several other topics like consider the titration of 40.0 ml of 0.200 m by 0.100 m . calculate the ph of the resulting solution after the following volumes of have been added.

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our answer is CORRECT. Given P(E"=0.47. P(F) = 0.54, and P( E F) = 0.16. Find P(E|FC). P(F= 0.54 0.16=0.35 a) 0.7872 I PLEC) = 0.47-0.38=0,09 b) 0.8043 0.38) 11-(0.16+0.38+0.09) 11-0, 63=0.37 c) 0.2962 0,091 d) 0.6851 PLEIF- PLENFC) _ _ 0.37 0.32-080431 e) 0.4933 P(FC) 0.37+0.09 0.46" Study Soup Study Soup Study Soup 1) None of the above. dy Soup Question 2 Your answer is CORRECT. StudySoup Two cards are drawn without replacement from a well-shuffled deck of 52 playing cards. What is the probability that the first card drawn is a 9 and the second card drawn is a 10? 3/51 92 a) 0.0060 4/52 © 9. 4/51 b) 0.0059 102 StudySoup c) 0.0045 Study Soup 1/2 4/51 92 d) 0.1569 Study Soup Study Soup e) 0.1554 p(9,0102)= 3/51 102 ) =0.0060 None of the above. Question 3 Your answer is CORRECT. A pair of fair dice is cast. What is the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3? https://www.casauh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 1/9 11/24/2016 Print Test a) 0.11 b) 0.1818 c) 0.0556 E=E sum of numbers is 93 = {(6,3), (5,4), (4,5), (3,6)3 F=& at least one number is a 33= {(1,3), (2,3), (3,3), (4,3),(5,3), (6,3),(3,1),(3,2), (3,4),(3,5), (3,6)} 2= 1/36 = 2.36 =10.1818 PLET - 11/36 36 T Dolores d) 0.5000 e) 0.3056 f) None of the above. Study Soup anos On Question 4 Your answer is CORRECT. Study Sow StudySoup 0.Jha defcompany factureranufactu A recording company obtains the blank CDs used to produce its labels from three compact disk manufacturers: I, II, and III. The quality control department of the company has determined that 6% of the compact disks produced by manufacturer I are defective, 3% of those produced by manufacturer II are defective, and 2% of those produced by manufacturer III are defective. Manufacturers I, II, and III supply 43%, 27%, and 30%, respectively, of the compact disks used by the company. What is the probability that a randomly selected label produced by the company will contain a defective compact disk? 0.43 0. 30 a) 0.1100 @studySoup b) 0.0081 1 c) 0.0060 d) 0.0258 0.06 0.94 0.03 0.97 0.02 0.98 o je Dc D ic PLD)=0.43(0,06)+0.27(0.03)+0.30(0.02)=0.0399) e) 0.0399 way Soup 1) None of the above. Study Soup Study Soup Question 5 Your answer is CORRECT. Study Sou Urn A contains 11 yellow balls and 4 red balls. Urn B contains 4 yellow balls and 5 red balls. Urn C contains 7 yellow balls and 6 red balls. An urn is picked randomly (assume that each urn is equally likely to be chosen), and then a ball is picked from the selected urn. What is the probability that the chosen ball came from urn B, given that it was a yellow ball? UrmA: ll yellow t4 ned=is total, Unt & a) 0.2590 UnB: 4 Mellow & Sned = 9 total 13 Ume: Gellow+brod = 13 total 131 b) 0.0780 -UnB. Y c) 0.4273 Uance Y d) 0.0858 https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/StudentGrades/PrintTest.htm 2/9 11/24/2016 Print Test 0 0.3137 PlumBlY= PlumBnY) - P( 1/3(4/9) 1/3(/s)+13(%) +23(783) 0 None of the above. S90 Question 6 Your answer is CORRECT. John is interested in purchasing a multi-office building containing five offices. The current owner provides the following probability distribution indicating the probability that the given number of offices will be leased each year. tudy Soup a) StudySoup Number of Lease Offices O Probability 1/4 5/32 3/16 1/32 1/16 5/16 StudySoup If each yearly lease is $12,000, how much could John expect to collect in yearly leases for the whole building in a given year?(in dollars) a) E(X)= $29,250.00 "E(X)=x, p, + X2 P2t ... + xnpn = 0 (t+1 ) +2(71)+3() +4 () +s() = 2.4375% 12,000 = $ 20,250.00 b) E(X) = $29,150.00 Stuce Soud StudySoup c) E(X) = $29,300.00 d) e) E(X)= $29,320.00 E(X)= $29,310.00 @studySoup None of the above. StudySoup @ Question 7 Your answer is CORRECT. studySou StudySoup Studys A probability distribution has a mean of 29 and a standard deviation of 3. Use Chebychev's inequality to estimate the probability that an outcome of the experiment lies between 19 and 39. P(195X =39) P(u-koeX Cutko) 2 - 1 a) 0.3000 u 19 = m-ko 39= dtko b) 0.9893 19=29-k(3) 39 = 29+k(3) P1195X<39) - 1 -10=-3k 10=3k c) 0.0900 k=10 d) 0.9100 k=0 = 1- 100 =0.9100) e) 0.0107 0 None of the above. Question 8 319 https://www.casa.ch.edu/CourseWare2008/Root/Pages/CW/Users/StudentGrades/PrintTest.htm Print Test 11/24/2016 Your answer is CORRECT. If the racetrack publishes that the odds in favor of a horse winning a race are 8 to 9, what is probability that the horse will not win the race? PIE À =0.5294 a) 0.4706 +$ b) 0.1111 c) 0.0139 -) StudySoup d) 0.5294 Study Soup e) 0.1250 Study Soup StudySoup 0 None of the above. StudySoup Question 9 Your answer is CORRECT. The probability distribution of a random variable X is given below. StudySoup @StudySoup 12 13 17 18 P(X = x) 1/27 5/27 2/27 10/27 1/3 StudySoup Given the following mean u = 7.11 Find the variance (Var(X)) and the standard deviation, respectively. StudySou a) [3149.61, 56.12] Study Soup b) [5.58, 2.36] Study Soup Var (X) =p, (X, + d ) 2 + P2(X2+)2t...tpn (Xnthl)? (2-7.11)' + 813-7.11.2+36-7.11 o) 147.38,688) +918-7.11)2+ $(9-7.1172=15.58] a) 1516.00,3394) = N (X) = 15.5% = 2.367 c) [47.38, 6.88] Study Soup e) [30.26, 5.50] Studs 1) None of the above. Question 10 Your answer is CORRECT. Consider the following binomial experiment. The probability that a green jelly bean is chosen at random from a large package of jelly beans is 3/8. If Sally chooses 10 jelly beans, what is the probability that at most two will be green jelly beans? n=10 p= ě P(X=x)=c(n,x) px gn-x. https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 4/9 11/24/2016 Print Test a) 0.7890 PCX <2)- P(X=0) + P(X=1) + P(X=2 )=C(10,0) b) 0.2110 3 16-+C(10,0) () (3) - FC610,2) c) 0.7100 (3) -2 = 1(E) (a)+10(*)'()*+45(3) d) 0.2150 e) 0.5000 StudySoup 1) None of the above. @ Study Question 11 Your answer is CORRECT. StudySoup Consider the following binomial experiment: A company owns 4 copiers. The probability that on a given day any one copier will break down is 0.61. What is the probability that at least 2 copiers will break down on a given day? a) 0.4808 n = 4 p=0obl 9=0.39 P(X22)=1 - P(X=0) + P(x=1) = 1-[C(4,0% (0.617° (0.3974-0+C(4,1) (0.6) (0.39) 4-1]=1-[1(0.6100 (0.39)4 + 4 (0.61)' (0.39)3] =0.8321 b) 0.6937 c) 0.0206 O d) 0.5666 e) 0.8321 @studySoup 1) None of the above. Study Soup Question 12 Your answer is CORRECT. @studySoup cudy Soup A binomial experiment consists of 13 independent trials. The probability of success in each trial is 0.50. Give the variance of the random variable associated with this experiment. a) 2.5495 n=13 p=0.50 9=0.50 ran(x) = np9 - 130.50) (0.5o)= 3.2500 b) 3.2500 c) 0.2500 d) 1.8028 e) 6.5000 1) None of the above. https:www.casa.chedu/CourseWare2008/RootPages/CW/Users/Student Grades/PrintTest.htm 5/9 Print Test 11/24/2016 Question 13 Your answer is CORRECT. Let Z be a standard normal variable. Find P(Z > -3.11). a) 0.9990 P(2>-3.11)=1- P(Z <-3.11)-1-0.0009=0.9997) b) 0.9987 sup c) - 0.9991 StudySoup Study Soup d) 0.0010 e) 0.9918 Study Soup 0 None of the above. Study Soup Question 14 Your answer is CORRECT. ( Study Soup Let Z be a standard normal variable. Find P(-3.29 <Z<1.37). StudySoup a) 0.9142 P(-3,29_221.37)=P(241.37)-P(ZL-3.29) = 0.9147 -0.0005=10.9142 Study soup 0.8811 UOVO c) 0.9147 @studySoup d) 0.9035 e) @ StudySoup 0.8936 StudySoup f None of the above. StudySoup Question 15 Your answer is CORRECT. Study Soup Let Z be a standard normal variable. Find the value of z if z satisfies P( -z<Z<z) = 0.3616. a) -0.35 b) 0.40 -035 P(- 22222) = 0.3616 • P (222) = // [1 + P(-222<2)] = 1 [1 +0.3616] 1 [1.3616] = 0.6808 [2=0.47 c) 0.47 d) 0.30 e) 0.48 https://www.casa.uh.edu/CourseWare 2008/RootPages/CW/Users/Student/Grades/Print Test.htm 6/9 11/24/2016 Print Test 1) None of the above. Question 16 Your answer is CORRECT. Let Z be a standard normal variable. Find the value of z if z satisfies P(Z > z) = 0.0048. a 2.59 P ( 272) = 0.0048 b) 2.50 1-0.0048 = 0.9952 2=2.59 ) StudySoup V Study Soup c) 3.00 studySoup StudySoup d) -2.50 e) -2.58 StudySoup 1) None of the above. studySoup Question 17 Your answer is CORRECT. Study Soup Suppose X is a normal random variable with StudySoup u=35 Study Soup and o= 10 @ Study Soup Find P(55.5 < X < 69.7). Stude 0.9769 O SUV SOU 0.0199 b) | Study Soup PS5.5 4X<69.7) = P(55.5-4.CX269.7-4) = f(559025 LX < 69.7633)=P(2.05 2X23.41) = P(XC3.47) - P(X<2.05 ) = 0.9997-0.9798 -0.0199 0.9795 Study Soup c) Studs 0.0225 d) 0.0190 0 None of the above. Question 18 https://www.casauhedu/CourseWare2008/Root/Pages/CW/Users/StudentGrades/PrintTest.htm 719 Print Test 11/24/2016 Your answer is CORRECT. Endure All, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. What is the probability that an Endure All battery selected at random will last more than 550 hours? sso-M 50-500 1640 b) 0.1151 PL2>550)=P(2> 550-A )=P(22550-500) =P(2>1.25)=1-P( 221.25)=1-0.8944 =0.1056 c) 0.8849 dnosápn @StudySoup d) 0.8944 studySoup 0.1587 Stay Soup 1) None of the above. studySoup Question 19 Your answer is CORRECT. StudySoup tudy Soup Use the normal distribution to approximate the following binomial distribution. You claim that 73% of the voters in your district will vote for you. If the district has 350 voters, what is the probability that at least 274 will actually vote for you? n=350 p=0.73 9=0.27 0.9850 273.5-u dnosapnis P ( 22274)~P(2>273.5) N 0.0150 tudySoup b) 0.0228 c) Study Soup 0.9772 0.9712 0.0154 273.5-255.s -pl > 2.17)=1-PC242.17) 8.3057 = -0.9850 -0.01501 x = hp=35010.73) = 255.S = Unpg = √350 (0.73) (0,277= 8.3057 3) Study Soud e) Studys 0 None of the above. Studs Question 20 Your answer is CORRECT. Use the normal distribution to approximate the following binomial distribution: A die is rolled 84 times. What is the probability that the number 2 occurs more than 12 times? 0.3300 n=84 p= b = 7 9=30=5 0.3300 a) https www.casa.uheduCourseWare2008/Root/Pages/CW/Users/StudentGrades/PrintTest.htm 89 11/24/2016 Print Test 0.6700 b) 0.3446 c) H = np= 84 (+) 14 J = impa = /54 (+) (+) = 3,4157 PZ212)=P(2>12.5)=P(27.12.5-4!) =plz 12.5-14 ) =P (27-0.44) = 1 - P (22-0,44)=1 0.3300 =10.67001 0.6554 d) 34 0.6664 ) Study Soup 1) None of the above. studySoup Study Soup Study Soup studySoup @studySoup Study Soup Study Soup StudySoup StudySoup StudySoup @StudySoup StudySoup studySoup Study Soup Stud https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 9/9