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Newest Random Variables Questions

1. Determine whether each of the following statement is true (i.e., always true) or false (i.e., not always true).1. Let X be a
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   2. 125 views
2. Please helpLet X and Y be independent random variables, with X uniformly distributed on [0,1] and y uniformly distributed on
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   2. asked by oppapempek
   3. 179 views
3. For n>= 2, let Xn be a random variable such that P(Xn = 1/n) = 1 – 1/n^2 and P(Xn = n) = 1/n^21> If Xn converges in
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   2. asked by narc
   3. 119 views
4. Limit of rescaled BinomialsLet Xn be a binomial random variable with parameters n and p = lambda/n, where lambda is a fixed
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   2. asked by egg
   3. 97 views
5. Nancy has classes three days a week. She attends classes three days a week 80% of the time, two days 15% of the time, one day 4%
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   2. 143 views
6. Let X~B(16, 0.6) be a random variable distributed binomially.What is the mean of the random variable
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7. Let X be a random variable that records the outcome of a dice toss. The probability distribution for X is as follows:Outcome: 1,
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8. For a binomial random variable X, the probability of x successes in n Bernoulli trials is calculated asMultiple choice question.
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9. We have k independent and identically distributed copies of the discrete uniform random variable Xi, which takes values 1
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10. Let X be a standard normal random variable. Let Y be a continuous random variable such thatf_{Y|X}(y|x)=\frac{1}{\sqrt{2\pi
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11. Let \, X\, be a random varible with invertible cdf \, F_ X. Define another random variable \, Y=F_ X(X). Find the cdf F_ Y of \,
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    2. 137 views
12. Let X and Y be real-valued random variables, both distributed according to a distribution \, \mathbf{P}.\, (We make no
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    2. 168 views
13. Suppose that X, Y, and Z are independent random variables with unit variance. Furthermore, E[X] )= 0 and E[Y] = E[Z] = 2. Then,
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    2. asked by silly_muffin
    3. 343 views
14. Suppose that X, Y, and Z are independent random variables with unit variance. Furthermore, E[X] )= 0 and E[Y] = E[Z]. Then,
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    2. asked by silly_muffin
    3. 278 views
15. Let X be an exponential random variable and let Y = a*X + b. What are the conditions for Y to be exponential?
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    2. asked by silly_muffin
    3. 149 views
16. The random variables X and Y are distributed according to the joint PDF:The joint PDF has the value of a*x^2 if 1 <= x <= 2 and
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    2. asked by silly_muffin
    3. 222 views
17. Let k be a positive integer and let X be a continuous random variable that is uniformly distributed on [0,k]. For any number x ,
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    2. asked by Rza
    3. 679 views
18. The random variables X and Y are independent and have the PMFs shown in this diagram;PX(x) 1, 1/6 2, 3/6 3, 2/6 PY(y) 2, 2/6 3,
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    2. asked by ProbablyDumd
    3. 154 views
19. Let X be a standard normal random variable. Let Y be a continuous random variable such thatfY|X(y|x)=1/√2π*exp(−(y+2x)^2/2)
    1. 5 answers
    2. asked by TBONE
    3. 1,475 views
20. PROBLEM 2Let X and Y be independent random variables, with X uniformly distributed on [0,1] and Y uniformly distributed on
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    2. asked by SC
    3. 2,501 views
21. let X be a geometric random variable, and assume that Var(X) = 5a) what is the conditional variance Var(X-4 | X>4)? b) what is
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    2. asked by cesar ocana
    3. 1,285 views
22. X is a random variable, such that X = 1 with probability 1/4, 2 with probability 3/4. What is the value of var(X^2)? What is the
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    2. asked by Mary
    3. 223 views
23. The nth moment of a random variable X is defined to be the expectation E[Xn] of the nth power of X.Recall that a Bernoulli
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    2. asked by Chibuzo Ekenna Ekejiuba
    3. 752 views
24. You observe 𝑘 i.i.d. copies of the discrete uniform random variable 𝑋𝑖 , which takes values 1 through 𝑛 with equal
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    2. asked by Keith
    3. 1,897 views
25. You observe k i.i.d. copies of the discrete uniform random variable Xi , which takes values 1 through n with equal probability.D
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    2. asked by Stats NErd
    3. 2,816 views
26. You observe k i.i.d. copies of the discrete uniform random variable Xi , which takes values 1 through n with equal probability.D
    1. 10 answers
    2. asked by Lex
    3. 7,927 views
27. Let Z be a nonnegative random variable that satisfies E[Z4]=4 . Apply the Markov inequality to the random variable Z4 to find
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    2. asked by m
    3. 416 views
28. If a coin is flipped and it lands on Heads, y, will the value of the random variable Z be greater than or equal to 0?
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    2. asked by Ann
    3. 1,832 views
29. Every person has a random number of children, drawn from a common distribution with mean 3 and variance 2. The numbers of
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    2. asked by Muhammad
    3. 2,510 views
30. The random variable X is exponential with parameter λ=1 . The random variable Y is defined by Y=g(X)=1/(1+X) .a) The inverse
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    2. asked by Nesli
    3. 703 views
31. The random variable K is geometric with a parameter which is itself a uniform random variable Q on [0,1]. Find the value
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    2. asked by ANON
    3. 832 views
32. Suppose three random variables X , Y , Z have a joint distribution.PU,PV,W(u,v,w)=toproaba gooas.P(not mov eveuy now) Then, U
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    2. asked by flammy
    3. 1,801 views
33. Let X denote an exponential random variable with unknown parameter λ>0 . Let Y=I(X>5) , the indicator that X is larger than 5 .
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    2. asked by Help
    3. 1,719 views
34. Let U1,…,Un be i.i.d. random variables uniformly distributed in [0,1] and let Mn=max1≤i≤nUi .Find the cdf of Mn , which we
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    2. asked by Anonymous
    3. 1,367 views
35. Let X and Y be independently random variables, with X uniformly distributed on [0,1] and Y uniformly distributed on [0,2] . Find
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    2. asked by ram121
    3. 1,693 views
36. Suppose that Y is an exponential random variable with parameter (and mean) equal to 2. Find the MAP estimate of Y, given that
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    2. asked by AK
    3. 8,026 views
37. Suppose that X is an exponential random variable with parameter (and mean) equal to 1. Find the MAP estimate of X , given that
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    2. asked by CS
    3. 3,443 views
38. Searches related to The random variables X1,X2,…,Xn are continuous, independent, and distributed according to the Erlang PDFfX
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    2. asked by 2
    3. 4,081 views
39. Let X and Y be independent positive random variables. Let Z=X/Y . In what follows, all occurrences of x , y , z are assumed to
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    2. asked by SK
    3. 4,886 views
40. A random variable X is generated as follows. We flip a coin. With probability p , the result is Heads, and then X is generated
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    2. asked by ramj
    3. 1,529 views
41. Let Θ be a continuous random variable that represents the unknown bias (i.e., the probability of Heads) of a coin.a) The prior
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    2. asked by Anonymous
    3. 3,766 views
42. The random variable X is exponential with parameter λ=1 . The random variable Y is defined by Y=g(X)=1/(1+X) .a) The inverse
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    2. asked by drain
    3. 3,761 views
43. Let X1,X2,… be a sequence of independent random variables, uniformly distributed on [0,1] . Define Nn to be the smallest k
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    2. asked by anon
    3. 2,179 views
44. Let 𝑋 and 𝑌 be independent random variables, uniformly distributed on [0,1]. Let 𝑈=min{𝑋,𝑌} and
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    2. asked by anon
    3. 938 views
45. Problem 4. Gaussian Random VariablesLet X be a standard normal random variable. Let Y be a continuous random variable such that
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    2. asked by infj
    3. 3,536 views
46. Let X be a standard normal random variable. Let Y be a continuous random variable such thatfY|X(y|x)=1/√2π−−exp(−(y+2x)
    1. 8 answers
    2. asked by Anonymous
    3. 5,073 views
47. Let X be a non-negative random variable. Find the PDF of the random variable Y=lnX for each of the following cases:For general
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    2. asked by navneethc
    3. 4,749 views
48. A defective coin minting machine produces coins whose probability of Heads is a random variable Q with PDFfQ(q)={5*q^4 if
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    2. asked by Adam
    3. 1,547 views
49. A fair coin is flipped independently until the first Heads is observed. Let the random variable K be the number of tosses until
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    2. asked by Adam
    3. 1,281 views
50. A fair coin is flipped independently until the first Heads is observed. Let the random variable K be the number of tosses until
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    2. asked by Adam
    3. 917 views
51. Sophia is vacationing in Monte Carlo. On any given night, she takes X dollars to the casino and returns with Y dollars. The
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    2. asked by amar
    3. 7,508 views
52. Sophia is vacationing in Monte Carlo. On any given night, she takes X dollars to the casino and returns with Y dollars. The
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    2. asked by Kina
    3. 6,060 views
53. Let X be a random variable that takes integer values, with PMF pX(x) . Let Y be another integer-valued random variable and let y
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    2. asked by Ali
    3. 3,658 views
54. et X and Y be independent Erlang random variables with common parameter λ and of order m and n, respectively. Is the random
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    2. asked by David
    3. 1,462 views
55. Let X and Y be independent Erlang random variables with common parameter λ and of order m and n, respectively. Is the random
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    2. asked by Brian
    3. 4,423 views
56. We have a red coin, for which P(Heads)=0.4, a green coin, for which P(Heads)=0.5 and a yellow coin for which P(Heads)=0.6. The
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    2. asked by Alex
    3. 6,993 views
57. Let X and Y be two independent, exponentially distributed random variables with parameters ,lambda and mu, respectively.1.Find
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    2. asked by Moreg
    3. 671 views
58. An image , corrupted with noise, has pixels which take the value 1 with probability q and 0 with probability 1−q, with q being
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    2. asked by organicCoco
    3. 584 views
59. Let N be a random variable with mean E[N]=m, and Var(N)=v; let A1, A2,… be a sequence of i.i.d random variables, all
    1. 1 answer
    2. asked by Anonymous
    3. 5,343 views
60. Question:A fair coin is flipped independently until the first Heads is observed. Let the random variable K be the number of
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    2. asked by Zozina
    3. 6,326 views
61. Let X,Y,Z be independent discrete random variables with E[X]=2, E[Y]=0, E[Z]=0, E[X^2]=20, E[Y^2]=E[Y^2]=16, and
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    2. asked by Anonymous
    3. 3,276 views
62. Let X,Y,Z be independent discrete random variables withE[X]=2, E[Y]=0, E[Z]=0, E[X^2]=20 E[Y^2]= E[Z^2]=16, and
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    2. asked by stud81
    3. 2,113 views
63. A box contains 10 items, of which 3 are defective and 7 are non-defective. Two items are randomly selected, one at a time, with
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    2. asked by sharon
    3. 1,694 views
64. Suppose x is a uniform random variable with values ranging from 40 to 60. Find the probability that a randomly selected
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    2. asked by Kamal
    3. 3,122 views
65. The time interval T, in minutes, between patient arrivals in an emergency room is a random variablewith exponential density
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    2. asked by Alice
    3. 479 views
66. Suppose that two random variables X1 and X2 have a bivariate normal distribution, and Var(X1) = Var(X2). Show that the sum X1+X2
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    2. asked by Sophia
    3. 703 views
67. A box contains 6 pagers. Assume any pager selected from the box is done randomly, and henceselections are independent from each
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    2. asked by Steven
    3. 563 views
68. A fair die is toss six times. Defined a random variable as an odd number that appeared. Find the probability that exactly four
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    2. asked by Frederick
    3. 939 views
69. Let X be a Poisson random variable with µ = EX = 0.4 and let Y be anotherrandom such that E[(2Y + 1)2 ] = 10 and E[(Y − 1)2 ]
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    2. asked by hassan
    3. 542 views
70. Adefective coin minting machineproducescoinswhoseprobability ofheadsisarandomvariable P with PDF1+sin(2πp), if p ∈ [0,1],fP
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    2. asked by Anonymous
    3. 1,019 views
71. supposed that two balanced dice are rolled. let Y denote the product of the two numbers. use random variable notation to
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    2. asked by A
    3. 1,458 views
72. supposed that two balanced dice are rolled. let Y denote the product of the two numbers. use random variable notation to
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    2. asked by A
    3. 1,002 views
73. Let X and Y be independent random variables, each uniformly distributed on the interval [0,2].Find the mean and variance of XY.
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    2. asked by qwerty
    3. 1,183 views
74. Let X be a random variable that takes non-zero values in [1,∞), with a PDF of the formfX(x)=⎧⎩⎨cx3,0,if x≥1,otherwise.
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    2. asked by qwerty
    3. 760 views
75. Tossing a pair of coinsWe have a white coin, for which P(Heads)=0.4 and a black coin for which P(Heads)=0.6. The flips of the
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    2. asked by RVE
    3. 1,666 views
76. Let X and Y be independent random variables, each uniformly distributed on the interval [0,1].Let Z=max{X,Y}. Find the PDF of Z.
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    2. asked by alec
    3. 794 views
77. Let X and Y be independent random variables, each uniformly distributed on the interval [0,1].Let Z=max{X,Y}. Find the PDF of Z.
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    2. asked by alec
    3. 1,012 views
78. Let X be a random variable with PDF fX. Find the PDF of the random variable Y=eX for each of the following cases:For general fX,
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    2. asked by janki
    3. 3,344 views
79. The random variables X and Y have a joint PDF of the form fX,Y(x,y)=c⋅exp{−12(4x2−8x+y2−6y+13)}E[X]= var(X)= E[Y]=
    1. 3 answers
    2. asked by Ravi
    3. 4,552 views
80. Consider three random variables X, Y, and Z, associated with the same experiment. The random variable X is geometric with
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    2. asked by qwerty
    3. 1,027 views
81. Consider three random variables X, Y, and Z, associated with the same experiment. The random variable X is geometric with
    1. 5 answers
    2. asked by qwerty
    3. 1,254 views
82. A quiz consists of 10 multiple-choice questions. Each question has 5 possible answers and only one of them is correct. A student
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    2. asked by Amriajasmine
    3. 1,366 views
83. Determine whether each of the following statement is true (i.e., always true) or false (i.e., not always true).1. Let X be a
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    2. asked by RVE
    3. 3,979 views
84. Let x and y be the amounts of time (in minutes) that a particular commuter must wait for a train on two independently selected
    1. 1 answer
    2. asked by Abbey
    3. 793 views
85. let X1,X2,X3 be random sample with pdff(x)=exp(-x),x>0,find the joint pdf of Y1=X1/X2, Y2=X3/(X1+X2) ,Y3=X1+X2, and find pdf of
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    2. asked by assma
    3. 579 views
86. Let X be a Binomial random variable with parameters n and 0 < p < 1.Show that lim E(1 + X) · E(1/1 + X)= 1. n→∞
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    2. asked by Jeremy
    3. 512 views
87. Let X and Y be independent random variables, each uniformly distributed on the interval [0,2].Find the mean and variance of XY.
    1. 3 answers
    2. asked by xyz
    3. 1,140 views
88. Let X and Y be independent random variables, each uniformly distributed on the interval [0,2].Find the mean and variance of XY.
    1. 3 answers
    2. asked by Anonymous
    3. 1,349 views
89. Let N,X1,Y1,X2,Y2,… be independent random variables. The random variable N takes positive integer values and has mean a and
    1. 8 answers
    2. asked by A
    3. 1,770 views
90. Let X be a random variable that takes non-zero values in [1,∞), with a PDF of the formfX(x)=⎧⎩⎨cx3 if x≥1,
    1. 4 answers
    2. asked by A
    3. 1,331 views
91. Let N be a geometric r.v. with mean 1/p; let A1,A2,… be a sequence of i.i.d. random variables, all independent of N, with mean
    1. 5 answers
    2. asked by A
    3. 1,772 views
92. A fair coin is flipped independently until the first Heads is observed. Let K be the number of Tails observed before the first
    1. 3 answers
    2. asked by JuanPro
    3. 3,865 views
93. A biased coin has a 0.4 probability of landing on tails. The random variable X, based on a single toss of the coin, is defined
    1. 1 answer
    2. asked by Anonymous
    3. 975 views
94. consider a sequence of independent tosses of a biased coin at times k=0,1,2,…,n. On each toss, the probability of Heads is p,
    1. 2 answers
    2. asked by luke
    3. 8,954 views
95. The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.4 minutes and a standard deviation of 3
    1. 0 answers
    2. asked by larae
    3. 1,229 views
96. :
Four cards are drawn without replacement from a well shuffled standard deck of cards. Let X be the number of aces drawn.12.
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    2. asked by Janice
    3. 633 views
97. The random variable U has mean 10 and standard deviation 5.The random variable V is de ned byV =12(U + 5).Find the mean and
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    2. asked by Sunny
    3. 485 views
98. A bag contains 4 balls, each of which have a positive integer written on it. Let X be the random variable of the value written
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    2. asked by stranger
    3. 446 views
99. The number of ships to arrive at a harbor on any given day is a random variable represented by x. The probability distribution
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    2. asked by Kim5
    3. 852 views
100. Let x and y be the amounts of time (in minutes) that a particular commuter must wait for a train on two independently selected
     1. 1 answer
     2. asked by Jade
     3. 1,705 views