Given that the variances of random variables X and Y are 400 and 900, respectively. The correlation between X and Y is 0.72. Find Var (2X-3Y).

Q: In soccer, it seems reasonable to assume that the more shots a team takes, the more goals they will…

A: Given Correlation coefficient r =0.31 Sample size n = 18 Solution 1 Select the correct statement If…

Q: Assume that X and Y are two random variables. Suppose Y is exponential with mean 798. Suppose that,…

A: Given that Y follows Exponential with mean 798 And X | Y = y follows Exponential with mean y We have…

Q: A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and…

A: GivenX represent the number of heads in first toss.So X can take values {0,1} Y represents the…

Q: A set of n=15 pairs of scores (X and Y values) has SSx= 4, SSy=25, and SP=6. What is the Pearson…

A: Given sample size n = 15SSx = 4,   SSy = 25 and Sp = 6.The pearson correlation coefficient is…

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,

Q: Consider the variable X whose mean and variance are given respectively by Hx = 27.2 and Var(X) =8.…

A: GivenμX=27.2Var(X)=8

Q: If X, Y and Z are uncorrelated and independent variables with the same variance o and zero mean.…

A:

Q: = Two random variables X, Y have variances Var(X) = 2 and Var(Y): = 8. respectively. If the…

A: The values of Var(X) is 2, Var(Y) is 8 and ρxy is 1/3.

Q: An urn contains 10 white balls and 8 red balls. 2 balls are selected at random. Let X denote the…

A: The number of balls in the urn is given as follows:White=8; Red=2The variables are given as…

Q: Consider a normal population with a mean of 10 and a variance of 4. Find P(X < 6).

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Q: A scientist suspects that as a person’s stress level changes, so does the amount of his or her…

A: Given that, A scientist suspects that as a person’s stress level changes, so does the amount of his…

Q: Suppose that 39% of all patrons at Goldy's gym spend more than 10 hours a week at the gym. Goldy's…

A: Given that  n=60 , p=39%=0.39 , q=1-p=1-0.39=0.61 X~Binomial(n=60 , p=0.39) P=Probability Goldy's…

Q: A set of n=4 of X and Y scores produces a Pearson correlation of r=0.20.The x values vary from…

A: Given that A set of n=4 of X and Y scores produces a Pearson correlation of r=0.20.The x values vary…

Q: For a data set of brain volumes (cm) and IQ scores of five males, the linear correlation coefficient…

A: The P-value given is 0.529. To determine the exact statement data ,  Null hypothesis is population…

Q: please also answer correctly.

A: 1. **Interpretation of the Sample Correlation Coefficient (r):**  - The sample correlation…

Q: For a data set of brain volumes (cm°) and IQ scores of eleven males, the linear correlation…

A: The P-value is 0.337.

Q: Suppose that X1, ..., Xn are random variables such that the variance of each variable is 1 and the…

A: Given that X1,..., Xn are random variables such that the variance of each variable is 1 and the…

Q: Arandom variable X is normally distributed with a mean of 121 and a variance of 121, and a random…

A:

Q: ou work for an NFL team and you are evaluating a prospective new running back. You have a…

A: First, we will fit a linear regression model and then estimate the vertical leap of the prospective…

Q: A set of n=38 pairs of x and y scores has SSx=150 SSy=25 Ex=50 Ey=160 and EXY=200.What is the…

A: given data  n = 38, SSX = 150 , SSY = 25 Σx = 50 , Σy = 160, Σxy = 200 Pearson correlation is…

Q: The standard deviation of return on investment A is 19%, while the standard deviation of return on…

A:

Q: Two independent variables x, and x, are with means 5 and 10 and variances 4 and 9. If u = 3x, +4x,…

A:

Q: If the variance of the sum is Var(X+Y) = 6 and Var(X) = Var(Y) = 4, then what is the correlation…

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

Q: When the points in a scatterplot lie exactly along straight line then the correlation coefficient r…

A: We have given that,  When the points in a scatter plot lie exactly along a straight line then…

Q: The random variable X has a normal distribution with a variance of 16 and an unknown mean. If the…

A: Given Data: X is a random variable   Variance (X)=16   X~ Normal (μ, 16) P(x&gt;65)=0.025

Q: Find Co-efficient of correlation from following results. N = 10, Mean x = 5, Mean y = 7 and sun of…

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Q: A homeowner estimates that within the range of likely temperatures his January heating bill, Y, in…

A: Given : Y = 290 - 5T Where T is a r.v with Mean (μT) = 24 S.D (σT) = 4

Q: To investigate the influence of distracted driving, 13 volunteers were asked to participate in a…

A: Correlation: Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…

Q: To investigate the influence of distracted driving, 13 volunteers were asked to participate in a…

A: The correlation provides the relationship between two variables. It shows the non-causal…

Q: In a trivariate distribution the simple coefficient of correlation are as follows, if r2 = 0.85, r =…

A:

Q: company has found that its profits Y are related to its sales X by the formula   Y = 0.2X + 100. If…

A: The profits of y is, Y=0.2X+100. The next year’s sales have a Normal distribution with a mean of…

Q: TABLE 2.4 X y 1 6 Exercise 2.3 Data 2 4 3 11 4 9 5 13 e. Find their sum, Σê, and their sum of…

A: Given the following observations of x and y : x y 1 6 2 4 3 11 4 9 5 13 6 17

Q: Using the linear correlation coefficient of r = 0.89, the coefficient of determination (R²) is…

A: r=0.89

Q: Given that the variances of random variables X and Y are 1600 and 400, respectively. The correlation…

A:

Q: Let X be a random variable that represents red blood cell count (RBC) in millions of cells per cubic…

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Q: Calculate co-efficient of correlation from the following information by taking deviation from actual…

A: Correlation is the degree or extent of relationship between two variables.