# 1.Let π and π be two binomial random variables: a.If π and π are independent, then π+π is also a binomial random variable b.If π and π have the same parameters, π and π , then π+π 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,β¦ be a sequence of i.i.d random variables, all independent of N, with mean 1 and variance 1; let B1,B2,β¦ 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,β¦ be independent continuous random variables, each uniformly distributed between β1 and 1. Let Ui=X1+X2+β―+Xii,i=1,2,β¦. What value does the

3. ## Math

Searches related to The random variables X1,X2,β¦,Xn are continuous, independent, and distributed according to the Erlang PDF fX(x)=Ξ»3x2eβ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 Ξ and X are not independent, but E[Ξβ£X=x]=3 for all x . Then the LLMS estimator of Ξ 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,β¦ be independent continuous random variables, each uniformly distributed between β1 and 1. Let Ui=X1+X2+β―+Xii,i=1,2,β¦. 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999". 1) Let X1, X2,β¦ 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,β¦ 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 =X1βX3, Y2 =X2βX3. We further introduce indicator random variables Ziβ{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 VΛL=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,β¦,Zn,β¦ is a sequence of random variables that converge in distribution to another random variable Z ; Y1,Y2,β¦,Yn,β¦ 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 π and π be independent continuous random variables that are uniformly distributed on (0,1) . Let π»=(π+2)π . Find the probability π(lnπ»β₯π§) where

22. ## probability and statistics

Let Ξ1, Ξ2, W1, and W2 be independent standard normal random variables. We obtain two observations, X1=Ξ1+W1,X2=Ξ1+Ξ2+W2. Find the MAP estimate ΞΈ^=(ΞΈ^1,ΞΈ^2) of (Ξ1,Ξ2) 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 π and π be independent continuous random variables that are uniformly distributed on (0,1) . Let π»=(π+2)π . Find the probability π(lnπ»β₯π§) where π§ is a given number that satisfies π^π§

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 VΛL=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 =X1βX3, Y2 =X2βX3. We further introduce indicator random variables Ziβ{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 =X1βX3, Y2 =X2βX3. We further introduce indicator random variables Ziβ{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,β¦ 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+n12ββββ , namely, Nn = min{kβ₯1:X1+X2+β―+Xk>cn} Does the limit limnββP(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)PZβ£X(zβ£x)PYβ£Z(yβ£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,β¦ be a sequence of i.i.d. random variables, all independent of N, with mean 1 and variance 1; let B1,B2,β¦ be another sequence of i.i.d. random variable, all independent of N and of A1,A2,β¦, 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)β€(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 π and π be two binomial random variables: a.If π and π are independent, then π+π is also a binomial random variable b.If π and π have the same parameters, π and π , then π+π is a binomial random variable c.If π

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 π and π be independent random variables, uniformly distributed on [0,1]. Let π=min{π,π} and π=max{π,π}. Let π=π[ππ] and π=π[π]. 1. Find π. 2. Find π. 3. Find Cov(π,π). You can give either a

47. ## Probability

Let N,X1,Y1,X2,Y2,β¦ 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 =X1βX3, Y2 =X2βX3. We further introduce indicator random variables Ziβ{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 =X1βX3, Y2 =X2βX3. We further introduce indicator random variables Ziβ{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 VΛL=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,β¦ 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+n12ββββ , namely, Nn = min{kβ₯1:X1+X2+β―+Xk>cn} Does the limit limnββP(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 pβ(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 =X1βX3, Y2 =X2βX3. We further introduce indicator random variables Ziβ{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,β¦ 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 X1β 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)β€H(X)+H(Y), equality holds when X,Y are independent H(X,Y)β€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)β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,?. Iβ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