Suppose that X and Y are unknowns with E ( X ) = 10, Var ( X ) =4,  E ( Y ) = 12  and Var ( Y ) = 100.  In addition,  suppose that the correlation coefficient of X with Y is .8.  Then what is the expected value of XY?

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A: Given that,  Z~ N(0,1)  Then |Z|~ N(0, 1) So E(Z)= 0 and E(|Z|)= 0

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Q: The range of the correlation coefficient is from 0 to 1. O True O False

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Q: Suppose that X and Y are unknown with E(X) = 10, Var(X) = 4, E(Y) = 12 and Var (Y) = 100. In…

A: Solution: From the given information,

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Q: The random variables X,Y have variance Var(X)=36 and Var(Y)=1 and their correlation is Cor(X,Y)=−34.…

A: Formula used Var ( X+Y) = Var(X)+Var(Y)+2Cov(X,Y)

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A: Given  r=-0.7

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Q: Suppose X and Y are two random variables with covariance Cov(X, Y) = 3 and Var(X) = 16. Find the…

A: The correlation coefficient between two random variables X and Y is defined as:  ρ(X, Y) = Cov(X, Y)…

Q: Random variables X and Y have the joint PMF with a constant k P(x, y) = {kxy, X = 1,4; y = 1,3…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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A: given data  Var(X+Y) = 6 Var(X) = Var(Y) = 4 corr(X,Y) = ?

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A: Given that,the covariance between X and Y is the standard deviation of X is the standard deviation…

Q: Suppose that X and Y are unknowns with E(X) = 10, Var (X) = 4, E(Y)=12 and Var (Y) = 100. In…

A:

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Q: I would need help with find the value of the linear correlation coefficient r, please?

A: For the given data r =?

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A: We have to find value of r.

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A: Given that, Correlation of r = .85.

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A: As per our guidelines, we are allowed to answer first question only. Thanks   Given Data :

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Q: What is indicated by a Pearson correlation of r +1.00 between X and Y? O Every increase in X causes…

A: Solution: From the given information, r=+1.

Q: Determine the mean and the variance of X.

A: Given that  f(x) = 0.125 x    for 0<x<4   We know that  Mean = E(x) = ∫x.f(x) dx variance V(x)…

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A: Given  Y1 , Y2, Y3 are independent of each other.  They have same standard deviations

Q: A correlation of r=1.2 is not possible? Define?

A: Given that, A correlation of r=1.2

Q: The expectation of X, which is also known as the mean or average, is E(X) = 7 and the Variance of X…

A: We have given that  The expectation of X, which is also known as the mean or average, is E(X) = 7…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.