Are x and y be independent random variables or not?

Q: a. In words, dene the Random Variable X. b. List the values that X may take on. c. Give the…

A: As per our guidelines, we are only allowed to answer three sub-parts a) Let X defines the random…

Q: the following random variables are Discrete or Continuous.

A: We have to find out whether the random variable is discrete or continuous. Discrete Random Variable:…

Q: a) Calculate the covariance of Y₁ and Y₂. b) Are Y₁ and Y₂ independent? Are two uncorrelated random…

A: The given table:   Y1 -1 0 1 Y2 -1 1/16 3/16 1/16 0 3/16 0 3/16 1 1/16 3/16 1/16…

Q: Suppose the correlation between two random variables X and Y are 0. a. Must it be true that X and Y…

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Q: If two random variables X and Y are statistically independent, then X and Y are said to be…

A:

Q: otherwise If the expected value of the random variable X is 1/3. Find the values A and B.

A: Here use property of probability distribution function

Q: In large corporations, an "intimidator" is an employee who tries to stop communication, sometimes…

A: State the hypotheses. That is, there is no evidence to conclude that population mean time lost due…

Q: 3. If X and Y are standardized random variables and 1 + 2ab r(aX + bY, bX + aY) a? + b? Find r(X,…

A: Reviewing information, Given X & Y are standardized variables r(aX+bY, bX+aY)=1+2aba2+b2

Q: the households of a local community were surveyed about the number of occupantswho are working.It…

A: Given : 25 households have one occupant working, 18 have two occupants working, 12 have three…

Q: 2. A family has four children. If X is a random variable that pertains to the number of female…

A: It is given that X = Number of female children in the family. Note : Since you have asked multiple…

Q: Let X be a discrete random variable and Y be a continuous random variable. Which of the following…

A: Let us consider the X to be a discrete random variable and Y to be a continuous random variable. We…

Q: two students will be picked from a pool of students and W is a random variablethat pertains to the…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: If X and Y are independent random variables and f, g are measurable and real valued, why are f(X)…

A: X and Y are independent random variables. f and g are measurable real valued functions.

Q: The covariance of two random variables is always a number between -1 and 1 True False

A: In this case, we need to find the correct option.

Q: |If the expected value of the random variable X is 1/3. Find the values A and B.

A:

Q: A) Suppose that X is a random variable with if 0 < x < 2 fx(x) = otherwise

A: We have to find the var(x)  Using formula  Var(x) = E(x^2) - [E(x)]^2

Q: Show that X and Y are both zero-mean random variables and that they uncorrelated.

A:

Q: Suppose X and Y are independent random variables with expected values E[X] = 0, E[Y] = 0, and Var(X)…

A: We have given that  X and Y are independent random variables with expected values E[X] = 0, E[Y] =…

Q: In large corporations, an "intimidator" is an employee who tries to stop communication, sometimes…

A: (i) We have done the calculations for the sample means and standard deviations using an fx-82MS…

Q: If X is a constant random variable and Y is any random variable. Are X and Y independent or not?…

A: Given X is a constant random variable Y is any Random variable f(x) = c f(y) = y If x and y are…

Q: What is the difference between the two types of random variables?

A: Random variables are those that assume numerical values determined by the outcome of an experiment.…

Q: Let the random variable Y = a + bX. Then uY=a+b-ux

A:

Q: If the conditional mean of one random variable given another is zero, then the two random variables…

A: Given that  If the conditional mean of one random variable given another is zero, then the two…

Q: If X and Y are two independent random variables, then Ox+y(@) = x (@) 0, (@) %3D

A:

Q: If two random variables X and Y are independent. Then Var(X + Y) could be smaller than Var(X) or…

A: It is given that the random variables X and Y are independent.

Q: If the random variable X is uniformly distributed between 40 and 50, then P(35≤X≤45) is?

A: The density function is given by: f(x) =1/(50-40)        = 1/10

Q: If the covariance between two random variables is equal to zero, this means the two random variables…

A:

Q: If a dicrete random variable x takes only three values 2,5 and 9 and that p(x=2)= 0.2 , p(x=5) =…

A: We have to find p value..

Q: A six-sided die is rolled twice. The result of the rolls are denoted as A and B. Assume that all…

A: A six-sided die is rolled twice. The random variable X is defined as X=A,B.

Q: w. Determine if the random variables are statistically independent considering f (2, 1).

A: here given ,  joint distribution of x and y  two variables are statistically independent when f(x,y)…

Q: Let the random variable Y = a + bX. Then oy = |b| Ox.

A: False

Q: (b) Find a 90% confidence interval for - 2. (Round your answers to two decimal places.) lower limit…

A: Confidence Interval: In statistics, we can say a range of values of the specified population…

Q: Suppose that the joint probability for random variables X and Y defined by 01 28 28 28 21 3. 28 ZH…

A: Given: The joint probability for the random variable X and Y is given as:   y=0 y=1 y=2 f(x)…

Q: Let the random variable Y = a + bX. Then, Hy = bµx. %3D

A: Given equation Y=a+bX  E(Y)=a+bE(X)

Q: Define Probabilities and Moments of Continuous Random Variables?

A:

Q: Define the random variable X.

A: The table shows the probability distribution.

Q: we are evaluating two random variables X and Y with probabilitydistribution equal to: p(x, y) = P (X…

A: We want  to  find  P(X=2 | Y=2 ) and X , Y are independent or not.

Q: A large insurance company indicates that 78% of the policy holders have at least one health issues…

A: As the variable, policy holder with health issues has only two given outcomes, 1 is assumed for…

Q: Let Y be a binomial random variable with n = 10 and p = 0.3. (a) P(3 < Y < 5) = P(3 ≤ Y < 5) = (b)…

A: It is given that Y follows Binomial(n = 10, p = 0.3) then probabiloty function of Y is P(Y = y) =…

Q: For independent random variables X and Y, we have var(X -Y) = var(X)-var(Y). * true False

A: the given statement is FALSE

Q: Determine if the random variables X and Y are statistically independent or not. NO NEED SOLUTIONS

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Q: Consider X is a random variable and has equal probability of being -1,0,+1. What is the correlation…

A: Introduction: The correlation coefficient, ρ, between two random variables, X and Y can be expressed…

Q: If 'X' is a continuous random variable, then the expected value is given by

A: here use property of Continuous Random variable

Q: If X is a random variable, so is ∛X. Explain why .

A:

Q: Suppose X1,X2..X10 are independent N(H,o) random variables. Z1,Z2.Z5 are independent N(0,1) random…

A: Since X~N(μ,σ2)  &amp; Z~N(0,1) therefore,          X¯~N(μ,σ2/n) &amp; Z¯~N(0,1/m)    where n = 10…

Q: Construct random variables X, Y E L² on a common probability s ping p : R R such that E(|X – poY) <…

A: We define the probability space to be Ω=(0,1) with F the Borel sigma algebra of subsets of the unit…

Q: The mean of a random variable will be negative if all possible values of the random variable…

A: According to the given information, we haveThe possible values of the random variable are negative.

Q: Each of the random variables X and Y takes only 3 values {1,2,3} with the following probabilities: 1…

A: Consider, P(1&lt;X&lt;=3, 1&lt;Y&lt;=3)=P(x=2, y=2)+P(x=2,y=3)+P(x=3,y=2)+P(x=3,y=3)…