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: The mean of 5 observations is 4.4 and the variance is 8.24. If three of the five observations are…

A: Given: Number of observations (n) = 5 Mean x¯=4.4 Variance (s2) = 8.24 The three observations are 1,…

Q: Determine the variance of Z.

A: Helpful formulas (i)VaX=a2VX(ii)VC=0,where c is the constant(iii)VaX+ bY=a2VX+ b2VY

Q: . A sample of 60 women found that they run an average a  of 5km a week with a variance of 64.…

A: Given Data : For Sample 1 x̄1 = 5 s1 = 8 n1 = 60 For Sample 2 x̄2 = 3 s2…

Q: The scatterplot shows the relationship between two random variables X and Y.  - If r=0.15 then what…

A: Solution

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: The population data has a correlation of .60. What is the probability that you will get a sample…

A: Introduction: Suppose r is the sample correlation coefficient between two variables, based on a…

Q: Find the value of the linear correlation coefficient r. Two different tests are designed to measure…

A: Given data, X Y X*Y X*X Y*Y 23 49 1127 529 2401 25 53 1325 625 2809 28 59 1652 784 3481…

Q: Find the variance with solution

A:

Q: b) The following table shows the time students from a college took to complete a marathon. Time…

A:

Q: How the squared curvilinear correlation, η2, reflects the proportion of variance?

A: In analysis of variance, either for regression model or for design, if the proportion of variance is…

Q: The range and the variance are both measures of distance.

A: Solution-: The range and the variance are both measures of distance.

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: Two variables have the regression lines 3x + 2y = 26 and 6x + y = 31. Find the mean values, the…

A:

Q: Each morning John eats some eggs. On any given morning, the number of eggs he eats is equally likely…

A: Consider a random variable X defines the number of eggs eaten in 10 days.

Q: Jessica hypothesizes that giraffes will look longer at human infants than at adults. In her zoo, she…

A: It is given that Jessica hypothesizes that giraffes will look longer at human infants than at adults…

Q: Suppose the variance of X is 95. What is the variance of .09X?

A: The objective of this question is to find the variance of a variable that has been scaled by a…

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

A:

Q: A random variable X is normally distributed with a mean of 100 and a variance of 500, and a random…

A: Given,E(x)=100V(x)=500E(y)=200V(y)=400r=-0.5

Q: The mean of 5 observations is 4.4 and the variance is 8.24. If the three of the five observations…

A:

Q: The average lateness for one of the top airline companies is 10 minutes. The variance of the…

A: Given,mean(μ)=10standard deviation (σ)=9  =3and X=13

Q: A correlation of 0.95 for two variables X and Y implies that if X increases, there is a 95% chance…

A: Correlation is employed to estimate the linear relationship between the variables X and Y. Here the…

Q: A variance function Var (Y IX = Xx) tells us: about the variability of Y at different values of X. O…

A: Y | X = x means the value of value given X = xConditional Probability is the probability of Y at…

Q: A zero correlation bewteen X and Y is least likely to occur if?

A: The strength and direction of linear relationship between two variables is measured by correlation,…

Q: Find the variance

A: Given : X~N(0, 7)

Q: Suppose for 40 observations the variance is 50. If all the observations are increased by 20, the…

A: given If the values of all 40 observations are increased by 20 the mean increases by 20 as well,the…

Q: The correlation coefficient between variables X and Y is 0.68. What does this signify? a. When X…

A: If correlation coefficient between variables are positive then ,if one variable is increases then…

Q: A researcher obtains a Pearson correlation of r= 0.60 for a sample of n= 6 pairs of X and Y scores.…

A: Given Pearson correlation coefficient = r = 0.6sample size n = 6.To test the significance of the…

Q: Here is a scatterplot. Give an estimate for the correlation coefficient r and explain how you made…

A: Correlation: Correlation determines the strength and direction of the linear relationship between…

Q: Assume the random variable X has a standard deviation of 4, the random variable Y has a standard…

A:

Q: If covariance between X and Y variables is 10 and the variances of X and Y are respectively 16 and…

A: The objective is to find correlation coefficient

Q: The average number of students in the college of business is 56, with a variance of 5. The…

A: GivenMean(x)=56Varaince(σ2)=5standard deviation(σ)=5=2.2361Median  was greater than mean by

Q: You are conducting a study to see if students do better when they study all at once or in intervals.…

A: 1. Computing the values of the test statistics: The null and alternative hypotheses are: It is…