Question

In: Statistics and Probability

Let X and Y have the joint distribution shown in the table. Find the correlation coefficient....

Let X and Y have the joint distribution shown in the table. Find the correlation coefficient. (round to 4 decimal digits)

p(x,y)
x/y 1 2 3
1 0.12 0.08 0.11
2 0.18 0.14 0.07
3 0.17 0.05 0.08

Solutions

Expert Solution

PL??


Related Solutions

The joint probability distribution of variables X and Y is shown in the table below. ...............................................................................X..........................................................................
The joint probability distribution of variables X and Y is shown in the table below. ...............................................................................X....................................................................... Y 1 2 3 1 0.30 0.18 0.12 2 0.15 0.09 0.06 3 0.05 0.03 0.02 Calculate E(XY) Determine the marginal probability distributions of X and Y.             Calculate E(X) and E(Y)             Calculate V(X) and V(Y)             Are X and Y independent? Explain.             Find P(Y = 2| X = 1) Calculate COV(X,Y). Did you expect this answer? Why? Find the probability distribution...
The joint probability distribution of random variables, X and Y, is shown in the following table:...
The joint probability distribution of random variables, X and Y, is shown in the following table: X 2 4 6 Y 1 0.10 0.20 0.08 2 0.06 0.12 0.16 3 0.15 0.04 0.09 (a) Calculate P ( X=4 | Y=1) (b) Calculate V (Y | X=2) . (c) Calculate V (3Y-X ) .
Let X and Y have joint discrete distribution p(x, y) = 3 20 (.5 x )...
Let X and Y have joint discrete distribution p(x, y) = 3 20 (.5 x ) (.7 y ), x = 0, 1, 2, . . . , and y = 0, 1, 2, . . .. Find the marginal probability function P(X = x). [hint: for a geometric series X∞ n=0 arn with −1 < r < 1, r 6= 0, then X∞ n=0 arn = a 1 − r ]
Using the data below find the linear correlation coefficient. x              y               xy    
Using the data below find the linear correlation coefficient. x              y               xy               x2               y2 3              4               12              9                 16 4             6                24              16               36 5             7               35              25               49 7            12              84              49               144 8            14              112             64               196 ___________________________________________ 27           43              267           163              441 Also, utilizing the above data, find the slope and intercept.
4. The joint density function of (X, Y ) is f(x,y)=2(x+y), 0≤y≤x≤1 . Find the correlation...
4. The joint density function of (X, Y ) is f(x,y)=2(x+y), 0≤y≤x≤1 . Find the correlation coefficient ρX,Y . 5. The height of female students in KU follows a normal distribution with mean 165.3 cm and s.d. 7.3cm. The height of male students in KU follows a normal distribution with mean 175.2 cm and s.d. 9.2cm. What is the probability that a random female student is taller than a male student in KU?
Let X and Y have the following joint distribution: X/Y 0 1 2 0 5/50 8/50...
Let X and Y have the following joint distribution: X/Y 0 1 2 0 5/50 8/50 1/50 2 10/50 1/50 5/50 4 10/50 10/50 0 Further, suppose σx = √(1664/625), σy = √(3111/2500) a) Find Cov(X,Y) b) Find p(X,Y) c) Find Cov(1-X, 10+Y) d) p(1-X, 10+Y), Hint: use c and find Var[1-X], Var[10+Y]
Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b)...
Let X and Y have joint pdf f(x,y)=k(x+y), for 0<=x<=1 and 0<=y<=1. a) Find k. b) Find the joint cumulative density function of (X,Y) c) Find the marginal pdf of X and Y. d) Find Pr[Y<X2] and Pr[X+Y>0.5]
Let X and Y have the following joint density function f(x,y)=k(1-y) , 0≤x≤y≤1. Find the value...
Let X and Y have the following joint density function f(x,y)=k(1-y) , 0≤x≤y≤1. Find the value of k that makes this a probability density function. Compute the probability that P(X≤3/4, Y≥1/2). Find E(X). Find E(X|Y=y).
Suppose the joint probability distribution of X and Y is given by the following table. Y=>3...
Suppose the joint probability distribution of X and Y is given by the following table. Y=>3 6 9 X 1 0.2 0.2 0 2 0.2 0 0.2 3 0 0.1 0.1 The table entries represent the probabilities. Hence the outcome [X=1,Y=6] has probability 0.2. a) Compute E(X), E(X2), E(Y), and E(XY). (For all answers show your work.) b) Compute E[Y | X = 1], E[Y | X = 2], and E[Y | X = 3]. c) In this case, E[Y...
Based on the data shown below, calculate the correlation coefficient (to three decimal places) x y...
Based on the data shown below, calculate the correlation coefficient (to three decimal places) x y 1 7.58 2 7.32 3 9.06 4 8.1 5 5.84 6 6.58 7 8.32 8 4.46 9 5.9 10 7.44 11 3.48 12 4.02 13 3.16 14 2.3
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT