Question content area top Part 1 A random variable X is normally distributed with a mean of 64 and a variance of 64​, and a random variable Y is normally distributed with a mean of 160 and a variance of 256. The random variables have a correlation coefficient equal to 0.6. Find the mean and variance of the random variable below. W=3X+6Y 用中文解答

The coefficient of correlation between the two variables X and Y is 0.6. Their covariance is 3.6 and variance of X is 4. The variance of Y is3.55.54.59

If for two variable x and y, the covariance, variance of x and variance of y are40, 16 and 256 respectively, what is the value of the correlation coefficient?(a) 0.01(b) 0.625(c) 0.4(d) 0.5

A big department store has two entrance doors, one on 5th Ave. and the other on 6th Ave. The number of shoppers who enter the store through the 5th Ave. door in an hour, X, has mean of μX = 25 and standard deviation σX = 5, and the number of shoppers who enter the store through the 6th Ave. door in an hour, Y, has a mean of μY = 35, and standard deviation of σY = 8. Let the random variable T be the total number of shoppers who enter the store in an hour.What is μT, the mean of T?30421060Assuming that shoppers enter the store through the two doors independently, what is σT, the standard deviation of T?1389sqrt(13), or the square root of 13sqrt(89), or the square root of 89

SharesExpected returnStandard deviationWeight in portfolioY6%5%60%Z14%12%40%  A portfolio is made up of shares Y and Z. The correlation coefficient of shares Y and Z is 0.90.        What is the expected return of the portfolio?Select one:a.5.60%b.9.20%c.10.00%d.3.60%

Recall from the previous quiz the random variables X and Y with joint probability distributionY=0 Y = 1X = 0 0.4 0.1X = 1 0.3 0.2The correlation between X and Y is (3 decimal places)You AnsweredCorrect Answers0.218 (with margin: 0.002) Question 50 / 1 ptsIn the previous question, var(X + Y) isYou AnsweredCorrect Answers0.56 (with margin: 0)PreviousNextLast Attempt Details:Time: 12 minutesCurrent Score: 2 out of 5Kept Score: 2 out of 5Unlimited AttemptsTake the Quiz Again(Will keep the highest of all your scores)