Homework Answers
For solving this question one needs to be thorough with the definitions o marginal pmf and also the condition of independence for two discrete random variable.
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Choose the constants a, b and c such that the table below defines a valid joint...
Fill in the table below such that it is a valid joint probability mass function for...
Fill in the table below such that it is a valid joint probability mass function for two independent discrete random variables X and Y .x Pxxtx.y Pi() 0.25 Px) 0.20 0.40 Check
Consider two discrete random variables X and Y with joint p.m.f given below . 0.200.15 -1...
Consider two discrete random variables X and Y with joint p.m.f given below . 0.200.15 -1 0 0.05 0.15 0.10 1 0.200.15 Find the joint p.m.f. of U-X Y and V X Yand enter it below Pulu,y) -1 0 -1 0 Chec
The table below gives the joint probability mass function of a pair of discrete random variables...
The table below gives the joint probability mass function of a pair of discrete random variables X and Y. Pxr(x,y) 12 3 P) 10.30 0.05 0.15 2 0.10 0.05 0.35 px(x) Complete the marginal distributions in the table above. . Are X and Y independent? Yes Check
Please solve part b) and d)!!! 1. Suppose X, Y are two discrete RV's with joint...
Please solve part b) and
d)!!!
1. Suppose X, Y are two discrete RV's with joint p.m.f. according to the table below. (a) Calculate the marginal p.m.f. of X and of Y (b) Calculate P(0< sin(X) el < 4) (c) Are X and Y independent? (d) Compute cov(X,Y). Table 1: The joint p.m.f. of X, Y 1/21/121/81/8 1/12 0 1/121/91/9 6 1/12 1120 1/9
Question 10 Using the joint probability table below, determine P(X = 1, Y = 7). 3...
Question 10 Using the joint probability table below, determine P(X = 1, Y = 7). 3 | 5 7 0.15 0.050 0.3 0.15 0.05 0.15 0.05 0.1 a) 0.1 b) 0.3 c) 0.45 d) 0.15 e) 0.35 f) None of the above.
Using the joint probability table below, determine P(X=0 [Y=5). 3 х 10 0.05 0.15 0.05 1...
Using the joint probability table below, determine P(X=0 [Y=5). 3 х 10 0.05 0.15 0.05 1 10.15 0.3 0.15 Y 1 0 0.05 0.1 5 7 a. 0.75 b.0.35 C. 0.15 d. 0.03 e. 0.3
1. Determine the constant c such that the given function is a valid joint PDF for...
1. Determine the constant c such that the given function is a valid joint PDF for the jointly continuous random variables X and Y. f(x,y) ={cry otherwise 0 < y < 2x a. Find the value of the constant c. b. Find the marginal PDFs for X and Y. Are X and Y independent?
Let X denote the number of times a photocopy machine will malfunction: 0,1,2, or 3 times,...
Let X denote the number of times a photocopy machine will malfunction: 0,1,2, or 3 times, on any given month. Let Y denote the number of times a technician is called onan emergency call. The joint p.m.f. p(x,y) is presented in the table below: y\. 0 1 2 3 0 0.15 0.30 0.05 0 1 0.05 0.15 0.05 0.05 2 0 0.05 0.10 0.05 Px(2) 0.20 0.50 0.20 0.10 py(y) 0.50 0.30 0.20 1.00 (a) Find the probability distribution of...
1. Consider a discrete bivariate random variable (X,Y) with the joint pmf given by the table:...
1. Consider a discrete bivariate random variable (X,Y) with the joint pmf given by the table: Y X 1 2 4 1 0 0.1 0.05 2 0.2 0.05 0 4 0.1 0 0.05 8 0.3 0.15 0 Table 0.1: p(, y) a) Find marginal distributions of X and Y, p(x) and pay respectively. b) Find the covariance and the correlation between X and Y.
Question 17 10 pts Determine the value of c such that f(x, y) is a valid...
Question 17 10 pts Determine the value of c such that f(x, y) is a valid joint pmf of the random variables X and Y, given the values for the joint pmf below Y-2 Y 4 Y=6 X-1 0.05 0.01 0.13 X-2 0.10 0.08 0.04 X -3 0.05 0.13 C OD.41 O O.82 O 0.14 O 0.07 Question 18 10 pts Aprivately owned liquor store operates botha drive-in facility and a walk-in facility. On a randomly selected day, let Xand...
Fill in the table below such that it is a valid joint probability mass function for two independent discrete random variables X and Y .x Pxxtx.y Pi() 0.25 Px) 0.20 0.40 Check
Consider two discrete random variables X and Y with joint p.m.f given below . 0.200.15 -1 0 0.05 0.15 0.10 1 0.200.15 Find the joint p.m.f. of U-X Y and V X Yand enter it below Pulu,y) -1 0 -1 0 Chec
The table below gives the joint probability mass function of a pair of discrete random variables X and Y. Pxr(x,y) 12 3 P) 10.30 0.05 0.15 2 0.10 0.05 0.35 px(x) Complete the marginal distributions in the table above. . Are X and Y independent? Yes Check
Please solve part b) and
d)!!!
1. Suppose X, Y are two discrete RV's with joint p.m.f. according to the table below. (a) Calculate the marginal p.m.f. of X and of Y (b) Calculate P(0< sin(X) el < 4) (c) Are X and Y independent? (d) Compute cov(X,Y). Table 1: The joint p.m.f. of X, Y 1/21/121/81/8 1/12 0 1/121/91/9 6 1/12 1120 1/9
Question 10 Using the joint probability table below, determine P(X = 1, Y = 7). 3 | 5 7 0.15 0.050 0.3 0.15 0.05 0.15 0.05 0.1 a) 0.1 b) 0.3 c) 0.45 d) 0.15 e) 0.35 f) None of the above.
Using the joint probability table below, determine P(X=0 [Y=5). 3 х 10 0.05 0.15 0.05 1 10.15 0.3 0.15 Y 1 0 0.05 0.1 5 7 a. 0.75 b.0.35 C. 0.15 d. 0.03 e. 0.3
1. Determine the constant c such that the given function is a valid joint PDF for the jointly continuous random variables X and Y. f(x,y) ={cry otherwise 0 < y < 2x a. Find the value of the constant c. b. Find the marginal PDFs for X and Y. Are X and Y independent?
Let X denote the number of times a photocopy machine will malfunction: 0,1,2, or 3 times, on any given month. Let Y denote the number of times a technician is called onan emergency call. The joint p.m.f. p(x,y) is presented in the table below: y\. 0 1 2 3 0 0.15 0.30 0.05 0 1 0.05 0.15 0.05 0.05 2 0 0.05 0.10 0.05 Px(2) 0.20 0.50 0.20 0.10 py(y) 0.50 0.30 0.20 1.00 (a) Find the probability distribution of...
1. Consider a discrete bivariate random variable (X,Y) with the joint pmf given by the table: Y X 1 2 4 1 0 0.1 0.05 2 0.2 0.05 0 4 0.1 0 0.05 8 0.3 0.15 0 Table 0.1: p(, y) a) Find marginal distributions of X and Y, p(x) and pay respectively. b) Find the covariance and the correlation between X and Y.
Question 17 10 pts Determine the value of c such that f(x, y) is a valid joint pmf of the random variables X and Y, given the values for the joint pmf below Y-2 Y 4 Y=6 X-1 0.05 0.01 0.13 X-2 0.10 0.08 0.04 X -3 0.05 0.13 C OD.41 O O.82 O 0.14 O 0.07 Question 18 10 pts Aprivately owned liquor store operates botha drive-in facility and a walk-in facility. On a randomly selected day, let Xand...
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