1.Let 𝑋 and π‘Œ be two binomial random variables: a.If 𝑋 and π‘Œ are independent, then 𝑋+π‘Œ is also a binomial random variable b.If 𝑋 and π‘Œ have the same parameters, 𝑛 and 𝑝 , then 𝑋+π‘Œ is a binomial

10,648 results
  1. Statistics and Probability

    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 independent of N, with mean 1 and variance 1; let B1,B2,… be another sequence of i.i.d. random variables, all independent of N and of

  2. probability

    For each of the following sequences, determine the value to which it converges in probability. (a) Let X1,X2,… be independent continuous random variables, each uniformly distributed between βˆ’1 and 1. Let Ui=X1+X2+β‹―+Xii,i=1,2,…. What value does the

  3. Math

    Searches related to The random variables X1,X2,…,Xn are continuous, independent, and distributed according to the Erlang PDF fX(x)=Ξ»3x2eβˆ’Ξ»x2, for xβ‰₯0, where Ξ» is an unknown parameter. Find the maximum likelihood estimate of Ξ» , based on observed

  4. maths

    Suppose that the random variables Θ and X are not independent, but E[Θ∣X=x]=3 for all x . Then the LLMS estimator of Θ based on X is of the form aX+b , with a= b=

  5. probability

    Let X and Y be independent Erlang random variables with common parameter Ξ» and of order m and n, respectively. Is the random variable X+Y Erlang? If yes, enter below its order in terms of m and n using standard notation. If not, enter 0.

  6. Probability

    For each of the following sequences, determine the value to which it converges in probability. (a) Let X1,X2,… be independent continuous random variables, each uniformly distributed between βˆ’1 and 1. Let Ui=X1+X2+β‹―+Xii,i=1,2,…. What value does the

  7. Probability

    Convergence in probability. For each of the following sequences, determine whether it converges in probability to a constant. If it does, enter the value of the limit. If it does not, enter the number β€œ999". 1) Let X1, X2,… be independent continuous

  8. math, probability

    Let X and Y be independent random variables, uniformly distributed on [0,1] . Let U=min{X,Y} and V=max{X,Y} . Let a=E[UV] and b=E[V] 1. Find a 2. Find b 3. Find Cov(U,V) . You can give either a numerical answer or a symbolic expression involving a and b .

  9. probability

    This figure below describes the joint PDF of the random variables X and Y. These random variables take values in [0,2] and [0,1], respectively. At x=1, the value of the joint PDF is 1/2. (figure belongs to "the science of uncertainty) 1. Are X and Y

  10. probability

    et X and Y be independent Erlang random variables with common parameter Ξ» and of order m and n, respectively. Is the random variable X+Y Erlang? If yes, enter below its order in terms of m and n using standard notation. If not, enter 0.

  11. probability

    t the discrete random variable X be uniform on {0,1,2} and let the discrete random variable Y be uniform on {3,4}. Assume that X and Y are independent. Find the PMF of X+Y using convolution. Determine the values of the constants a, b, c, and d that appear

  12. Probability

    The joint PMF, pX,Y(x,y), of the random variables X and Y is given by the following table: (see: the science of uncertainty) 1. Find the value of the constant c. c = 0.03571428571428571428 2. Find pX(1). pX(1)= 1/2 3. Consider the random variable Z=X2Y3.

  13. Probability

    Let N,X1,Y1,X2,Y2,… be independent random variables. The random variable N takes positive integer values and has mean a and variance r. The random variables Xi are independent and identically distributed with mean b and variance s, and the random

  14. Probability

    Let X1 , X2 , X3 be i.i.d. Binomial random variables with parameters n=2 and p=1/2 . Define two new random variables Y1 =X1βˆ’X3, Y2 =X2βˆ’X3. We further introduce indicator random variables Zi∈{0,1} with Zi=1 if and only if Yi=0 for i=1,2 . Calculate

  15. Probability

    Suppose that we have a box that contains two coins: A fair coin: P(H)=P(T)=0.5 . A two-headed coin: P(H)=1 . A coin is chosen at random from the box, i.e. either coin is chosen with probability 1/2 , and tossed twice. Conditioned on the identity of the

  16. Probability & Statistics

    Exercise: Convergence in probability a) Suppose that Xn is an exponential random variable with parameter Ξ»=n. Does the sequence {Xn} converge in probability? b) Suppose that Xn is an exponential random variable with parameter Ξ»=1/n. Does the sequence

  17. statistics/probability

    One statistic used to assess professional golfers is driving accuracy, the percent of drives that land in the fairway. Driving accuracy for PGA Tour professionals ranges from about 40% to about 75%. Tiger Woods hits the fairway about 60% of the time. One

  18. Probability

    Let X and Y be independent random variables with zero means, and variances 1 and 2, respectively. Let U=X+Y and V=X+2Y . Find the coefficients a and b of the Linear Least Mean Squares (LLMS) estimator VˆL=aU+b of V based on U . Find: a= b=

  19. Probability

    For each of the following statements, determine whether it is true (meaning, always true) or false (meaning, not always true). Here, we assume all random variables are discrete, and that all expectations are well-defined and finite. Let X and Y be two

  20. Statistics

    Z1,Z2,…,Zn,… is a sequence of random variables that converge in distribution to another random variable Z ; Y1,Y2,…,Yn,… is a sequence of random variables each of which takes value in the interval (0,1) , and which converges in probability to a

  21. probability

    Problem 2. Continuous Random Variables 2 points possible (graded, results hidden) Let 𝑋 and π‘Œ be independent continuous random variables that are uniformly distributed on (0,1) . Let 𝐻=(𝑋+2)π‘Œ . Find the probability 𝐏(ln𝐻β‰₯𝑧) where

  22. probability and statistics

    Let Θ1, Θ2, W1, and W2 be independent standard normal random variables. We obtain two observations, X1=Θ1+W1,X2=Θ1+Θ2+W2. Find the MAP estimate θ^=(θ^1,θ^2) of (Θ1,Θ2) if we observe that X1=1, X2=3. (You will have to solve a system of two linear

  23. probability theory

    Let X, Y, Z, be independent discrete random variables. Let A= X(Y+Z) and B= XY With A, B, X, defined as before, determine wheter the folllowing statements are true or false. 1. A and B are independent 2. A and B are conditionally independent, given X = 0.

  24. probability

    Let 𝑋 and π‘Œ be independent continuous random variables that are uniformly distributed on (0,1) . Let 𝐻=(𝑋+2)π‘Œ . Find the probability 𝐏(ln𝐻β‰₯𝑧) where 𝑧 is a given number that satisfies 𝑒^𝑧

  25. Probability

    Let X and Y be independent random variables with zero means, and variances 1 and 2, respectively. Let U=X+Y and V=X+2Y . Find the coefficients a and b of the Linear Least Mean Squares (LLMS) estimator VˆL=aU+b of V based on U . find a and b.

  26. Probability

    Let X1 , X2 , X3 be i.i.d. Binomial random variables with parameters n=2 and p=1/2 . Define two new random variables Y1 =X1βˆ’X3, Y2 =X2βˆ’X3. We further introduce indicator random variables Zi∈{0,1} with Zi=1 if and only if Yi=0 for i=1,2 . Calculate

  27. Probability

    Let X1 , X2 , X3 be i.i.d. Binomial random variables with parameters n=2 and p=1/2 . Define two new random variables Y1 =X1βˆ’X3, Y2 =X2βˆ’X3. We further introduce indicator random variables Zi∈{0,1} with Zi=1 if and only if Yi=0 for i=1,2 . Calculate

  28. Probability

    This figure below describes the joint PDF of the random variables X and Y. These random variables take values in [0,2] and [0,1], respectively. At x=1, the value of the joint PDF is 1/2. Are X and Y independent? - unanswered Yes No Find fX(x). Express your

  29. Probability

    Let U, V, and W be independent standard normal random variables (that is, independent normal random variables, each with mean 0 and variance 1), and let X=3U+4V and Y=U+W. Give a numerical answer for each part below. You may want to refer to the standard

  30. math , probability

    Let X1, X2, ... be a sequence of independent random variables, uniformly distributed on [0,1]. Define Nn to be the smallest k such that X1 + X2 + ... + Xx exceeds cn = 5 + 12/n, namely, Nn = min{k >1: X1 + X2 +...+Xk > cn} Does the limit lim P (NK>n) 100

  31. math

    Let X1,X2,… be a sequence of independent random variables, uniformly distributed on [0,1] . Define Nn to be the smallest k such that X1+X2+β‹―+Xk exceeds cn=n2+n12βˆ’βˆ’βˆ’βˆš , namely, Nn = min{kβ‰₯1:X1+X2+β‹―+Xk>cn} Does the limit limnβ†’βˆžP(Nn>n)

  32. probablity

    Let X and Y be two independent Poisson random variables, with means Ξ»1 and Ξ»2, respectively. Then, X+Y is a Poisson random variable with mean Ξ»1+Ξ»2. Arguing in a similar way, a Poisson random variable X with parameter t, where t is a positive integer,

  33. Probability

    1. Suppose three random variables X , Y , Z have a joint distribution PX,Y,Z(x,y,z)=PX(x)PZ∣X(z∣x)PY∣Z(y∣z). Then, are X and Y independent given Z? 2.Suppose random variables X and Y are independent given Z , then the joint distribution must be of

  34. probability

    1) Let X and Y be independent continuous random variables that are uniformly distributed on (0,1) . Let H=(X+2)Y . Find the probability P(lnHβ‰₯z) where z is a given number that satisfies e^z

  35. Probability

    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 and variance 1; let B1,B2,… be another sequence of i.i.d. random variable, all independent of N and of A1,A2,…, also with

  36. Probability

    In the following problem, please select the correct answer. Let X be a non-negative random variable. Then, for any a>0, the Markov inequality takes the form P(Xβ‰₯a)≀(a^c)E[X^5]. What is the value of c? c= unanswered Suppose that X_1,X_2,β‹― are random

  37. Probability

    1.Let 𝑋 and π‘Œ be two binomial random variables: a.If 𝑋 and π‘Œ are independent, then 𝑋+π‘Œ is also a binomial random variable b.If 𝑋 and π‘Œ have the same parameters, 𝑛 and 𝑝 , then 𝑋+π‘Œ is a binomial random variable c.If 𝑋

  38. Probability

    For each of the following statements, state whether it is true (meaning, always true) or false (meaning, not always true): 1. Let X and Y be two binomial random variables. (a) If X and Y are independent, then X+Y is also a binomial random variable. (b) If

  39. probablity

    In this problem, you may find it useful to recall the following fact about Poisson random variables. Let X and Y be two independent Poisson random variables, with means Ξ»1 and Ξ»2, respectively. Then, X+Y is a Poisson random variable with mean Ξ»1+Ξ»2.

  40. Probability

    The random variables X1,..,Xn are independent Poisson random variables with a common parameter Lambda . Find the maximum likelihood estimate of Lambda based on observed values x1,...,xn.

  41. Probability

    Suppose that we have a box that contains two coins: A fair coin: P(H)=P(T)=0.5 . A two-headed coin: P(H)=1 . A coin is chosen at random from the box, i.e. either coin is chosen with probability 1/2 , and tossed twice. Conditioned on the identity of the

  42. probability

    Let X and Y be independent continuous random variables that are uniformly distributed on (0,1). Let H=(X+2)Y. Find the probability P(lnHβ‰₯z) where z is a given number that satisfies ez

  43. Statistics

    Suppose in a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six

  44. Maths Probability

    Let X and Y be independent random variables, each uniformly distributed on the interval [0,2]. Find the mean and variance of XY. E[XY]= 1 var[XY]= ??? Find the probability that XYβ‰₯1. Enter a numerical answer. P(XYβ‰₯1)= ???

  45. probablity

    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 Var(X)=Var(Y)=Var(Z)= 16. Let A=X(Y+Z) and B=XY. 1.Find E[B]. 2.Find Var(B). 3.Find E[AB]. 4. are A and B independent? 5.Are A and B are

  46. math , probability

    Let 𝑋 and π‘Œ be independent random variables, uniformly distributed on [0,1]. Let π‘ˆ=min{𝑋,π‘Œ} and 𝑉=max{𝑋,π‘Œ}. Let π‘Ž=𝐄[π‘ˆπ‘‰] and 𝑏=𝐄[𝑉]. 1. Find π‘Ž. 2. Find 𝑏. 3. Find Cov(π‘ˆ,𝑉). You can give either a

  47. Probability

    Let N,X1,Y1,X2,Y2,… be independent random variables. The random variable N takes positive integer values and has mean a and variance r. The random variables Xi are independent and identically distributed with mean b and variance s, and the random

  48. Probability

    Let U, V, and W be independent standard normal random variables (that is, independent normal random variables, each with mean 0 and variance 1), and let X=3U+4V and Y=U+W. Give a numerical answer for each part below. You may want to refer to the standard

  49. Probability

    Q1 . Let X1 , X2 , X3 be i.i.d. Binomial random variables with parameters n=2 and p=1/2 . Define two new random variables Y1 =X1βˆ’X3, Y2 =X2βˆ’X3. We further introduce indicator random variables Zi∈{0,1} with Zi=1 if and only if Yi=0 for i=1,2 .

  50. Statistics

    Let X1 , X2 , X3 be i.i.d. Binomial random variables with parameters n=2 and p=1/2 . Define two new random variables Y1 =X1βˆ’X3, Y2 =X2βˆ’X3. We further introduce indicator random variables Zi∈{0,1} with Zi=1 if and only if Yi=0 for i=1,2 . Calculate

  51. Experiment

    The question is how do I design a basic experiment that would allow us to establish a cause-effect relationship between number of hours worked per week and lower college graduation rates? It must have these components: a manupulated independent variable, a

  52. Math Probability

    Let X and Y be independent random variables, each uniformly distributed on the interval [0,2]. Find the mean and variance of XY. E[XY]= var[XY]= Find the probability that XYβ‰₯1. Enter a numerical answer. P(XYβ‰₯1)=

  53. Probability

    Let X and Y be independent random variables with zero means, and variances 1 and 2, respectively. Let U=X+Y and V=X+2Y . Find the coefficients a and b of the Linear Least Mean Squares (LLMS) estimator VˆL=aU+b of V based on U . a= unanswered b= unanswered

  54. Statistics

    Suppose in a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six

  55. Statistics

    Suppose in a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six

  56. math, probability

    Let X1,X2,… be a sequence of independent random variables, uniformly distributed on [0,1] . Define Nn to be the smallest k such that X1+X2+β‹―+Xk exceeds cn=n2+n12βˆ’βˆ’βˆ’βˆš , namely, Nn = min{kβ‰₯1:X1+X2+β‹―+Xk>cn} Does the limit limnβ†’βˆžP(Nn>n)

  57. Math Independent & Dependent.

    Hey! I am a Connexus user. I was wondering if anyone could help me on this question because I can't seem to understand independent and dependent variables for some reason. I've tried everything like asking my teacher, doing examples myself, reading from

  58. Probability

    Consider three random variables X, Y, and Z, associated with the same experiment. The random variable X is geometric with parameter p∈(0,1). If X is even, then Y and Z are equal to zero. If X is odd, (Y,Z) is uniformly distributed on the set

  59. Probability

    Let X1 , X2 , X3 be i.i.d. Binomial random variables with parameters n=2 and p=1/2 . Define two new random variables Y1 =X1βˆ’X3, Y2 =X2βˆ’X3. We further introduce indicator random variables Zi∈{0,1} with Zi=1 if and only if Yi=0 for i=1,2 . 1. Calculate

  60. probability

    Let N,X1,Y1,X2,Y2,… be independent random variables. The random variable N takes positive integer values and has mean a and variance r. The random variables Xi are independent and identically distributed with mean b and variance s, and the random

  61. Statistics

    A simple random sample of cars in a city was categorized according to fuel type and place of manufacture. domestic foreign gasoline 146 191 diesel 18 26 hybrid 51 79 Are place of manufacture and fuel type independent? If the two variables were independent,

  62. Statistics/probability

    The random variable X has a binomial distribution with the probability of a success being 0.2 and the number of independent trials is 15. The random variable xbar is the mean of a random sample of 100 values of X. Find P(xbar

  63. math(Quantitative) ...Pls help me

    Linear regression analysis is based on identifying independent variables and gathering historical data for these variables.Name 2 independent variables to forecast these dependent variables: (a)Demand for hospital Services. (b)Students entering Legon

  64. statistics

    Let X be the average of a sample of size 25 independent normal random variables with mean 0 and variance 1. P[[X

  65. math

    express this in binomial: 2 4ez (4e-z) the 2 is the square.. can anyone teach me how to do this??? I'm a little unsure what your question is asking for here. Ordinarily, a binomial is an expression with two variables and some positive power, e.g. (x+y)^2

  66. science

    Writing variables and hypothesses What about them? i don't even understand them and i have to make up 4 variables and hypothesses about independent and dependent variables i don't even understand them and i have to make up 4 variables and hypothesses about

  67. statistics

    Let X be the average of a sample of 16 independent normal random variables with mean 0 and variance 1. Determine c such that P (X< c) = .5

  68. Maths

    Approximate the probability that the sum of the 16 independent uniform (0,1) random variables exceeds 10.

  69. Maths

    Approximate the probability that the sum of the 16 independent uniform (0,1) random variables exceeds 10.

  70. math

    let two stochastically independent random variables y1 and y2 with the distribution b(n1,p1) and b(n2,p2) respectively,how find a confidence interval for p1-p2 ?

  71. Stats

    In each of the four examples listed below, one of the given variables is independent (x) and one of the given variables is dependent (y). Indicate in each case which variable is independent and which variable is dependent. I. Rainfall; Crop yield II. Taxi

  72. Probability

    Let X,Y,Z be three independent (i.e. mutually independent) random variables, each uniformly distributed on the interval [0,1]. 1. Find the mean and variance of 1/(Z+1). E[1/(Z+1)]= var(1/(Z+1))= 2. Find the mean of XY/(Z+1). Hint: Use your answer to the

  73. science

    what should you ask yourself when looking for an independent variable in an experiment? I would ask whether that variable can be manipulated or not. Here is more info on experimental variables that might be helpful. An independent variable is the potential

  74. Statisitcs

    Suppose that X and Y are independent discrete random variables and each assumes the values 0,1, and 2 with probability of 1/3 each. Find the frequency function of X+Y.

  75. Statistics

    I neep help on two questions! A condition that occurs in multiple regression analysis if the independent variables are themselves correlated is known as: 1. autocorrelation 2. stepwise regression 3. multicorrelation 4. multicollinearity (I think this is

  76. Stats

    6. In each of the four examples listed below, one of the given variables is independent (x) and one of the given variables is dependent (y). Indicate in each case which variable is independent and which variable is dependent. I. Rainfall; Crop yield II.

  77. Statistics

    In a population, heights of males are normally distributed with u=180 cm and sigma^2=16 cm^2, while the heights of females are normally distributed with u=170 cm and sigma^2= 25 cm^2. a) One random male and one random female are selected from the

  78. statistics

    The profit for a new product is given by Z = 2X - 2Y - 7. We know that X and Y are independent random variables with Var(X) = 2 and Var(Y) = 2.7. What is the variance of Z?

  79. math

    let two stochastically independent random variables y1 and y2 with the distribution b(100,p1) and b(100,p2) respectively,y1=50 and y2=40 ,find 90% a confidence interval for p1-p2 ?

  80. math

    8 divided by 3 plus 6= You asked 8 divided by 3 plus 6= (8/3) + 6 = 2(2/3) + 6 or 8/3 + 18/3 = ??/3 I don't understand how to describe pairs of related variables what's the difference between dependent & independent variables I'm not what class your

  81. College Stats

    Suppose that two random variables X1 and X2 have a bivariate normal distribution, and Var(X1) = Var(X2). Show that the sum X1+X2 and the difference X1βˆ’ X2 are independent.

  82. stats

    In each of the four examples listed below, one of the given variables is independent (x) and one of the given variables is dependent (y). Indicate in each case which variable is independent and which variable is dependent. I. Gas consumption; Miles driven

  83. statistics

    In each of the four examples listed below, one of the given variables is independent (x) and one of the given variables is dependent (y). Indicate in each case which variable is independent and which variable is dependent. I. Rainfall; Crop yield II.

  84. Statistics

    Suppose in a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six

  85. Statistics

    Suppose in a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six

  86. probablity

    Let 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 Var(X)=Var(Y)=Var(Z)= 16. Let A=X(Y+Z) and B=XY. 1.Find E[B]. 2.Find Var(B). 3.Find E[AB]. 4. are A and B independent? 5.Are A and B are

  87. Math

    what is the difference between dependent and independent variables? Can you provide an example for me indicating which of the variables is dependent and which is independent?

  88. math

    what is the difference between dependent and independent variables? Can you provide an example for me indicating which of the variables is dependent and which is independent?

  89. Algebra

    Solve y= 2x+ 3 and y= 4x+3 I came up with the answers (0,3) using both substitution and elimination methods. What is the "independent" variable and "dependent" variable? What would be a "real world situation" including independent and independent

  90. Binomial

    Independent samples of n1 = 400 and n2= 400 observations were selected from binomial populations 1 and 2, and x1 = 100 and x2 = 127 successes were observed. What is the best point estimator for the difference ( p1-p2) in the two binomial proportions? a.

  91. Psychology

    A scientist studied whether climate affected growth in rats. All rats were the same age and from the same parent rats. For the study, they were raised in three distinct climates: tropical, arctic, and multiseasonal. In this study, the climates are

  92. Statistics

    In each of the four examples listed below, one of the given variables is independent (x) and one of the given variables is dependent (y). Indicate in each case which variable is independent and which variable is dependent. I. Rainfall; Crop yield II. Taxi

  93. Regression Analysis

    1)Quantity of Beef 2)Price of Beef 3)Price of Pizza 4)Price of Coke 5)Income 1- list and explain each of the components of your regression model, both the dependent variable and the independent variables 2-list each of the independent variables,

  94. communication

    X and Y are discrete jointly distributed discrete valued random variables. The relation between their joint entropy H(X,Y) and their individual entropies H(X),H(Y) is H(X,Y)≀H(X)+H(Y), equality holds when X,Y are independent H(X,Y)≀H(X)+H(Y), equality

  95. Msth

    Please check my work: Label the dependent and independent vstiablr. 1. Time spent studying and Score on a test 2. If a scientist conducts an experiment to test the theory that a vitamin could extend a person's life expectancy. What are the dependent and

  96. Math

    The following are correlation coefficients for independent and dependent variables. Based on the coefficients, analyze the data and describe the correlation between the independent and dependent variables A. 0.95 B. -0.45 I don't understand how to do this.

  97. binomial

    Independent samples of n1 = 400 and n2= 400 observations were selected from binomial populations 1 and 2, and x1 = 100 and x2 = 127 successes were observed. Calculate the approximate standard error for the statistic, the point estimator for the difference

  98. communication

    The mutual information I(X,Y)=H(X)βˆ’H(X|Y) between two random variables X and Y satisfies I(X,Y)>0 I(X,Y)β‰₯0 I(X,Y)β‰₯0, equality holds when X and Y are uncorrelated I(X,Y)β‰₯0 , equality holds when X and Y are independent

  99. Math

    I need help with the independent independent variables quiz part two. Input:32,14,?,-2,-10. Output:20,2,-6,-14,?. I’m honestly not very good at this and I just need help.

  100. Socioogy

    Can you give any web sites for dummies related to dependent variable measures (inter -item reliability Cronbach's Alpha)? Also, dependent variable index by category of independent variables (cross tabulations), and how much of an effect your independent

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