Question

In: Statistics and Probability

Consider the following joint distribution. X p(x,y) 2 5 Y 2 0.1 0.34 5 0.31 0.25...

Consider the following joint distribution.

X
p(x,y) 2 5
Y 2 0.1 0.34
5 0.31 0.25

Based on this distribution, find:

E(X)

Sd(Y)

Corr(X,Y)

Solutions

Expert Solution

thank you.


Related Solutions

Consider the following joint distribution. X p(x,y) 2 4 Y 1 0.11 0.36 6 0.33 0.2...
Consider the following joint distribution. X p(x,y) 2 4 Y 1 0.11 0.36 6 0.33 0.2 Based on this distribution, fill in the blanks below. X p(x,y) 2 4 Y 1 0.11 0.36 6 0.33 0.2 E(X)= Sd(Y)= . Corr(X,Y)=
X 19 20 21 22 23 P(x) 0.21 0.25 0.31 0.13 0.1 Find the mean, variance,...
X 19 20 21 22 23 P(x) 0.21 0.25 0.31 0.13 0.1 Find the mean, variance, and standard deviation of the distribution rounded to 4 decimal places. Mean = Variance = Standard Deviation = Approximately how many arrangements should the florist expect to deliver each week, rounded to the nearest whole number?
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 ]
5. Suppose that X and Y have the following joint probability distribution: f(x,y) x 2 4...
5. Suppose that X and Y have the following joint probability distribution: f(x,y) x 2 4 y 1 0.10 0.15 2 0.20 0.30 3 0.10 0.15 Find the marginal distribution of X and Y. Find the expected value of g(x,y) = xy2 or find E(xy2). Find (x and (y. Find Cov(x,y) Find the correlations ρ(x,y) 3. The length of life X, in days, of a heavily used electric motor has probability density function Find the probability that the motor has...
If the joint probability distribution of X and Y f(x, y) = (x + y)/2
If the joint probability distribution of X and Y f(x, y) = (x + y)/2, x=0,1,2,3; y=0,1,2, Compute the following a. P(X≤2,Y =1) b. P(X>2,Y ≤1) c. P(X>Y) d. P(X+Y=4)
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]
Consider the following data: x 4 5 6 7 8 P(X=x) 0.1 0.3 0.1 0.2 0.3...
Consider the following data: x 4 5 6 7 8 P(X=x) 0.1 0.3 0.1 0.2 0.3 Step 1 of 5: Find the expected value E(X). Round your answer to one decimal place. Step 2 of 5: Find the variance. Round your answer to one decimal place. Step 3 of 5: Find the standard deviation. Round your answer to one decimal place. Step 4 of 5: Find the value of P(X>6)P(X>6). Round your answer to one decimal place. Step 5 of...
let p ( x , y )be a joint pmf of Xand Y. p ( x...
let p ( x , y )be a joint pmf of Xand Y. p ( x , y ) y = 0 y = 1 y = 2 x = 0 .12 .10 .08 x = 1 .13 .17 .10 x = 2 .15 .15 0 (a) Find the marginal pmf's of Xand Y. (b) Determine whether Xand Yare independent. c) Find Correlation (X,Y)
Consider the following data: x -4 -3 -2 -1 0 P(X=x) 0.2 0.1 0.2 0.1 0.4...
Consider the following data: x -4 -3 -2 -1 0 P(X=x) 0.2 0.1 0.2 0.1 0.4 Step 2 of 5 : Find the variance. Round your answer to one decimal place. Step 3 of 5 : Find the standard deviation. Round your answer to one decimal place.
1. Consider the probability distribution shown below. x 0 1 2 P(x) 0.25 0.60 0.15 Compute...
1. Consider the probability distribution shown below. x 0 1 2 P(x) 0.25 0.60 0.15 Compute the expected value of the distribution. (Enter a number.) Compute the standard deviation of the distribution. (Enter a number. Round your answer to four decimal places.) 2. What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT