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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 wellshufﬂed 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 isa 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—eY 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 multiofﬁce 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 thenabove. “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]
+ %[ 09.83)’+ 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 — »— . “mmv. 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 : POE4 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 willlast 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 531955 U :W
" " ' 12m 2 _
c) 0.0202 ' ' ._ 3‘35 Mngilﬁ d) (5 0.0228 213 t: : 83054.sz e) g 09:02 1) None of the above. '7' yn—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) 07435 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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 Spring '08
 CONSTANTE
 Math

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