Practice Test 4 with solutions

# Practice Test 4 with solutions - Print Test K Page 1 of 9...

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Unformatted text preview: Print Test K Page 1 of 9 PRINTABLE VERSION Practice Test 4 i 5?: Questionl . Given P(EC) = 0.47, P(F) = 0.56, and P(EhF) = 0.16. Find P(Ech). i :0 (9.6.6607 C) i .3? H b) 0.7872 Fc) .q |+ c) 0.4805 d) 0.8409 ' Z e) a» 0.2857 i) (6% None of the above. Questlon 2 F 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 4 and the second card drawn is a 5? t a) 65 0.1554 LI 0 1, 650.0045 '-—— i .1: ,ODQ, )' 52. SI c) 0.1569 d) 0.0060 e) 0.0059 f) None of the above. Question 3 A pair of fair dice is cast. What is the probabiliy that one of the numbers falling uppermost is a 5, given that the two numbers falling uppermost are different? a) (90.9091 ‘- “3/39 0.;933 b) 0.3667 z " 3%(0 https://assess‘ment.casa.uh.edu/Assessment/PrintTest.htm 1 1/24/2008 Print Test Page 2 of 9 c) 0.2778 d) 0.3333 e) 0.3056 1) None of the above. m:- «m - W “W F —~. m r Question 4 14 black balls and 6 white balls are placed in an urn. Two balls are then drawn in succession. What is . the probability that the second ball drawn is-a white ball if the second ball is drawn without replacing the ﬁrst ball? f) None of the above. Question 5' Urn A contains 11 yellow balls and 4 red balls. Urn B contains 4 yellow balls and 5 red balls. Urn C 3 contains 7 yellow balls and 6 red balls. An urn is picked randomly (assume that each urn is equally ' E likely to be chosen), and then a ball is picked from the selected urn. What is the probability that the 1 ; chosen ball came from urn B knowing that it was a yellow ball? \$5 ( W 3 b) 0.2590 “ks é-(B 4' c), 0.3137 7 ' - ‘Is A . , _ d) 630.0858 /( I32 nix! z. w e) 0.0780 kc l—e-Y f) None of the above. W. m... m M m n1;— ‘3: u r a, Question 6 https://assessment.casa.uh.edu/Assessment/PrintTest.htm 1 1/24/2008 Print Test E: i Question 7 ' églf the racetrack publishes that the odds in favor of a horse winning a race are 7 to 9, what is Page 3 of 9 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. E 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) .0 @342 3441M b) E(X) = \$39,576.36 =2- 6.36 333x mm - £61 ,63030 c) E(X)=\$39,636.36 d) E(X) = \$39,676.36 e) E(X) = \$39,736.36 f) None of the above. A probability distribution has a mean of 22 and a standard deviation of 2. Use Chebychev's inequality to estimate the probability that an outcome of the experiment lies between 13 and 31. a) 0.2222 y“ 22 6" '5 2- d). 0.0083 , e) 0.9917 Kgb &q‘\o~w Hf) None of then-above. “ti—01F? . b) 0.9506 c) 0.0494 probability that the horse will not win the race? 9 \$4035.61} M https://aSsessment.casa.uh.edu/Assessment/PrintTest.htm 1 1/24/2008 3; H + 3022-) Print Test Page 4 of 9 b) 0.0159 c) 0.4375 d) 0.1429 c) 0.5625 1) None of the above. . m Question 9 I The probability distribution of a random variable X is given below. . Given the mean 0:583 i Find the variance (Var(X)) and the standard deviation, respectively. b) [98.74, 9.94] + %[ 0-9.83)’+ 3. c) [13.59,3.69] 2.‘| d) [63.44, 7.97] “i r5513 e) [1379.003713] q— : 5W“) t is ‘c’q i 1) Wm Questlon 10 ' Consider the following Binomial Experiment: The probability that a cell phone manufactured at ; Electronics Unlimited is defective is 0.11. If a sample of 8 cell phones is selected at random, What is E theprobability that at least ,1 is defective? : ::::::: 2,228.1 H9999 ) p o 8 c) 00.6063 w:- “I d) 03937 3' https://assessment.casa.uh.edu/Assessment/PrintTesthtm 1 1/24/2008 None of the above. Print Test Page 5 of 9 e) 0.3504 1) None of the above. Question 11 Consider the following binomial experiment. A survey shows 81% of households in Centercity own a DVD player. In a random sample of 22 households in this city, what is the probability that exactly 17 households own a DVD player? 01809 :- ob} b . ’ «Lam :: .181 520» c) 0.1816 e) 0.1811 1) None of the above. f Consider the following binomial experiment. A newspaper publisher claims that 63% of the people i in a certain community read his newspaper. Doubting the assertion, a competitor randomly surveys 5 246 people in the community. Find the standard deviation of this experiment, if the newspaper publisher's claim is correct. b) 7.4725 “rm =- f) None of the above. c) 7.7725 d) 7.1725 7 e) 7.3725 ... W i42fmf’fTiff W mxmmxm Question 13 , Let Z be a standard normal variable. Find P(Z > -2.99). '2: a) 0.0013 https://assessment.casa.uh.edu/Assessment/PrintTest.htm 1 1/24/2008 Print Test Page 6 of 9 b) 0.9981 d) 0.0019 e) 0.0014 1) None of the above. WWW w .9 V .r «mm—«- m .—— -~«-—-~ ~-—--—--» - m- «M — »— . “mm-v. 9» . ~ . a v .. Question 14 Let Z be a standard normal variable. Find P(—0.86 < Z < 2.25). b) 0.7898 d) 0.7884 e) 0.7742 t) None of the above. ,..,............_‘__................-.........-.~..-.w.. W W a nw— a... Question 15 Let Z be a standard normal variable. Find the value of 2 if 2 satisﬁes P( —z < Z < z) = 0.8788. d) 1.50 i e)®'l.55 {6‘3qu 0 1) None of the above. % '2'— ‘ ) Question 16 i Let Z be a standard normal variable. Find the value of 2 if 2 satisﬁes P(Z > z) = 0.0048. , P ,. https://assessment.casa.uh.edu/Assessment/PrintTest.htm 1 1/24/2008 Print Test Page 7 of 9 a) 2.50 b) 2.59 c) -2.50 d) -2.58 e) 3.00 1) None of the above. WWW Question 17 ‘ Suppose X is a normal random variable with land ? Find P(X > 20.2). b) 0.8389 c) 0.1841 '7 :6”) d) 0.1611 : POE-4 A?) e) 0.8159 1) None of the above. x chm m mmm Question 18 ‘ 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 a that an Endure All battery selected at random will-last more than 529 hours? ’ ‘ ' ' :1 H? We 4’8 >L 3°) 2 H717 .113) : P(Z<“’-°r?>)= https://assessment.casa.uh.edu/Assessment/PrintTest.htm 1 1/24/2008 Print Test Page 8 of 9 d) 0.7642 e) 0.7580 f) None of the above. Question 19 t 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 273 will actually vote for you? __ b) 00207 . _.P(2>212 53-1955 U- :W " " ' 12m 2 _ c) 0.0202 ' ' ._ 3‘35 Mngilﬁ d) (5 0.0228 213 t: : 8305-4.sz e) g 09:02 1) None of the above. '7' y-n—ln! m. 2“... m... M m .V...._....._...............m.-.e..w. m H- .. .. “.7. . . ,. ,. . ._-..__._v...r..e.._v.,,. .. . __ Question 20 § Use the normal distribution to approximate the following binomial distribution. A convenience store 3, owner claims that 55% of the people buying from her store, on a certain day of the week, buy coffee during their Visit. A random sample of 35 customers is made. If the store owner's claim is correct, ; what is the probability that fewer than 21 customers in the sample buy coffee during their Visit on 2 that certain day of the week? .5 3‘5 t '25 -- “54%” :53 la": (+6) b) (3 0.6628 V o- \h _?[14 0- 5l ) n A :M‘tszlzsgl c) 0.598? 7;, K '2 12:4 A?) d) 0.6915 ? e) 0-7435 https://assessment.casa.uh.edu/Assessment/PrintTest.htm 1 1/24/2008 Print Test ‘ Page 9 of 9 https://assessment.casa.uh.edu/Assessment/PrintTest.htm 1 1/24/2008 ...
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## This note was uploaded on 10/20/2009 for the course MATH 1313 taught by Professor Constante during the Spring '08 term at University of Houston.

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Practice Test 4 with solutions - Print Test K Page 1 of 9...

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