he following table shows the joint distribution of random variables X and Y. Y = 1 Y = 2 Y = 3 Y = 4 X = 1 0.04 0.03 0.02 0.01 X = 2 0.08 0.06 0.04 0.02 X = 3 0.12 0.09 0.06 0.03 X = 4 0.16 0.12 0.08 0.04 Vhich of the following statements about the random variables X and Y is correct? A X and Y are independent because knowing the value of X does not change the probability distribution of Y. B) X and Y are independent because knowing the value of X changes the probability distribution of Y. X and Y are not independent because knowing the value of X does not change the probability distribution of Y. X and Y are not independent because knowing the value of X changes the probability distribution of Y. E The independence of X and Y cannot be determined from the table.

Q: X 1 2 3 4 5 6 Pr(X=x) 0.1 0.3 0.25 0.05 0.15 0.15 e.  In case someone rolls a number smaller than,…

A:

Q: consider a random variable y= the number of broken eggs in a randomly selected carton of one dozen…

A: Given Data: y       0       1         2          3           4 p(y) 0.65   0.20    0.10     0.04…

Q: 10. X 0 15 30 45 60 P(X=x) 0.24 0.46 0.13 0.11 0.06

A: We have given a probability mass function of a random variable  as follows:…

Q: what is the mean and standard distribution of population distribution when 1. 2 unfair dice is…

A: Given probabilities:When a single die is rolled, thenFor odd numbers:For even numbers:

Q: 1.Write out and draw the marginal probability distribution of X. Show your work. 2. Find the mean…

A: Y=1 Y=2 Total X=1 0.20 0.10 0.30 X=2 0.40 0.30 0.70 Total 0.60 0.40 1

Q: Suppose that the random variable X measures the number of hot dogs purchased in a food court in an…

A: CorX,Y=0.75VX=VY=36W=2X+3Y

Q: Consider the bivariate distribution for the random variables x and y. The variance of the sum of x…

A: Solution

Q: Let X and Y be random variables where the expected value of X is 1, expected value of Y is 4,…

A: Given that E(X)=1E(Y)=4Var(X)=4Var(Y)=6Corr(X,Y)=0.50 Here Z=3X-2Y.

Q: Suppose X is a random variable with the following distribution: xi 1 2 5 10 pi 0.4 0.3 0.2…

A: the expected value of X is given by the formula EX=∑ixipi substitute the values…

Q: Without any calculation, which of the following discrete random variable has the largest mean value?…

A: The objective of the question is to identify which of the given discrete random variables (X, Y, or…

Q: 7. A distribution is given with random variables X = 5, 6, 7, 8, 9. The probabilities are as…

A: From the given information, X=5,6,7,8,9 P(5)=0.2 P(6)=0.25 P(7)=0.38 P(8)=0.1 P(9)=0.07 That is,…

Q: The discrete random variable X has the following probability distribution: -10 0 10 p(x) 0.20 0.40…

A:

Q: The following table gives the probability distribution of a discrete random variable x. 1 2 3 4 5 6…

A: Given data is x 0 1 2 3 4 5 6 P(x) 0.13 0.18 0.29 0.15 0.13 0.09 0.03

Q: The following table gives a Probability Distribution for a random variable X, which represents the…

A: Given,

Q: Suppose X is a discrete random variable with the following probability distribution: P(X = 2) = 0.3…

A: Given information  P(X = 2) = 0.3, P(X = 4) = 0.2,P(X = 6)=0.5

Q: What is V(X Y > 0)-

A:

Q: Which of the following probabilities for the sample points A, B, and C could be true if A, B, and C…

A: According to the given information in this question We need to identify the correct option