The marginal distributions of two random variables X and Y, together with some values of their joint distribution, are given in the table below. Fill in the table in such a way that X and Y are independent random variables. Y= 1 Y= 3 X=0 0.50 X=1 0.30 X=2 0.10 0.10 0.20 0.50 0.50 1.00

Q: Two independent random variables are defined with the following distributions: X p 1 2 3 (a) 0.5 0.2…

A: It is given that  and  are two independent random variables with probability distribution…

Q: 5. X is a normally distributed random variable with unknown µ and an unknown variance, o². X and s²…

A:

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.08 - 0.20 X=2 - 0.32 - 0.80…

Q: Find the variance for a given probability distribution. x: 0, 22, 4, 6 p(x): 0.05, 0.17, 0.43, 0.35

A: We have given that the probability distribution.

Q: Consider the discrete random variable X1, with probability pi X = with probability p2 X2, with…

A:

Q: Calculate the probability that the switchboard receives:Less than four calls.Between 1 and 7 calls…

A: Step 1 : Define,X= number of calls received by the switchboardX takes values…

Q: The joint probability distribution of two random variables x, Y is given in the ta below. Y=-2 Y=- 1…

A:

Q: 2 0.1 0.1 0.2 What is E(X | Y = 0), E(X | Y = 1), E(X|Y=2) ?

A:

Q: The joint probability distribution of two random variables X, Y is given in the table below. Y=-3…

A: Solution-: From given joint probability distribution table of two random variables X and Y we find,…

Q: q-1The random variable x is known to be uniformly distributed between 0.5 and 2.5. What is the…

A: It is given that X follows Uniform(a = 0.5 and b = 2.5)

Q: Pain is measured on a scale from Grade 1 (no pain) to Grade 4 (severe pain). X is the pain score of…

A: 1. Wrong, because it is a discrete random variable. 2. Wrong, P(X<2) = P(X≤1)

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.21 - 0.7 X=2 - 0.09 - 0.3…

Q: We have the following information about the random variables X and Y: o = 4.7, o = 8.5, and pxy =…

A: Values of And also given that

Q: table in such a way that X and Y are dependent random variables. Y= -3 Y=-1 Y=0 X=-2 0.01 0.10 X=-1…

A: Given that ; A discrete two dimensional random variable table is given  By using marginal formula…

Q: Thirteen percent of U.S. employees who are late for work blame oversleeping. You randomly select…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: Let X be the random variable with the following distribution: x: -2 3 5 P(X=x): 0.3 0.2 0.5 Find…

A:

Q: Please calculate the expected values, E(X) and E(Y), for the two random variables.

A:

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

A:

Q: 3.12 Let Y be a random variable with p(y) given in the accompanying table. Find E(Y), E(1/Y),…

A:

Q: 5. Given (kx? if z = 1, 2, 3, 4 P(x) = else sa probability function for a discrete random variable;…

A:

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=0 Y=1 Y=3 Total X=1   0.06   0.60 X=3   0.04   0.40…

Q: Find the variance for the probability distribution 4 0 1 2 3 P(X=x) 0.04 0.18 0.34 0.23 0.21 Select…

A:

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Independent event : The events  A and B are independent  if P( A and B ) = P(A)*P(B)