Homework Answers
In the above image the right side is the R script and in the left side the output is given
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Write a script in R to find the following
4. Consider Y ~ Gamma(a = 3,...
3. Let X and Y have a bivariate normal distribution with parameters x -3 , μΥ...
3. Let X and Y have a bivariate normal distribution with parameters x -3 , μΥ 10, σ 25, 9, and ρ 3/5. Compute (c) P(7<Y < 16). (d) P(7 < Y < 161X = 2).
given ellers. fx(z) = 0 ellers, 4(y-r) fr(u)o hvis 0 < y<1 ellers. Find P(X1/2 and...
given ellers. fx(z) = 0 ellers, 4(y-r) fr(u)o hvis 0 < y<1 ellers. Find P(X1/2 and P(1/3<Y < 1/2) Find E(Yl and EX Y) Find P(X+Y s 1/2)
(6 pts) Consider the joint density function f(x, y) = { (9- 2- y), 0<r<3, 3...
(6 pts) Consider the joint density function f(x, y) = { (9- 2- y), 0<r<3, 3 Sy <6, 0, otherwise Find P(0 < < <1,4 <y<6).
6. Find the particular part of the solution of the difference equation y(n+2) – 2y(n+1)+y(n) =...
6. Find the particular part of the solution of the difference equation y(n+2) – 2y(n+1)+y(n) = 4 for n <0.
2) Suppose that X has density function f(a)- 0, elsewhere Find P(X < .3|X .7).
2) Suppose that X has density function f(a)- 0, elsewhere Find P(X < .3|X .7).
(1 point) If X is a binomial random variable, compute the probabilities for each of the...
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 2), n = 9, p = 0.4 Probability = (b) P(X > 3), n = 8, p = 0.35 Probability = (c) P(X < 2), n = 5, p = 0.1 Probability = (d) P(X 25), n = 9, p = 0.5 Probability =
Consider the pair of random variables (X,Y). Suppose that marginally X ~ Binomial(2, ) and Y...
Consider the pair of random variables (X,Y). Suppose that marginally X ~ Binomial(2, ) and Y ~ Binomial(2, 3). If P(X > Y) = 0 and P(X = 0, Y = 2) = 16, then P(X = 1, Y = 1) equals
4. Given (x)=x-5x + 5x5x2 - 6x , write a symbolic MATLAB script that: (a) plots...
4. Given (x)=x-5x + 5x5x2 - 6x , write a symbolic MATLAB script that: (a) plots g(x) in the interval -2 <x< 4, (b) finds and display all of its maxima and minima, (c) evaluates g(x) at the following values of x: -21, 21, 0, 1, 2st and displays the five results. tidad
Question-2 Consider the joint uniform density function C for 22 + y2 < 4, f(x,y) 0...
Question-2 Consider the joint uniform density function C for 22 + y2 < 4, f(x,y) 0 otherwise. What is the value of c? 0 What is P(X<0)? What is P(X <0, Y <0)? What is f( x | y=1)?
(4) Suppose that the joint density function of X, Y and Z is given by )<y...
(4) Suppose that the joint density function of X, Y and Z is given by )<y <<< 1 f(x, y, z) = { otherwise. (a) Find the marginal density fz(z) (b) Find the marginalized density fxy(x, y) 72 (c) Find E (2)
3. Let X and Y have a bivariate normal distribution with parameters x -3 , μΥ 10, σ 25, 9, and ρ 3/5. Compute (c) P(7<Y < 16). (d) P(7 < Y < 161X = 2).
given ellers. fx(z) = 0 ellers, 4(y-r) fr(u)o hvis 0 < y<1 ellers. Find P(X1/2 and P(1/3<Y < 1/2) Find E(Yl and EX Y) Find P(X+Y s 1/2)
(6 pts) Consider the joint density function f(x, y) = { (9- 2- y), 0<r<3, 3 Sy <6, 0, otherwise Find P(0 < < <1,4 <y<6).
6. Find the particular part of the solution of the difference equation y(n+2) – 2y(n+1)+y(n) = 4 for n <0.
2) Suppose that X has density function f(a)- 0, elsewhere Find P(X < .3|X .7).
(1 point) If X is a binomial random variable, compute the probabilities for each of the following cases: (a) P(X < 2), n = 9, p = 0.4 Probability = (b) P(X > 3), n = 8, p = 0.35 Probability = (c) P(X < 2), n = 5, p = 0.1 Probability = (d) P(X 25), n = 9, p = 0.5 Probability =
Consider the pair of random variables (X,Y). Suppose that marginally X ~ Binomial(2, ) and Y ~ Binomial(2, 3). If P(X > Y) = 0 and P(X = 0, Y = 2) = 16, then P(X = 1, Y = 1) equals
4. Given (x)=x-5x + 5x5x2 - 6x , write a symbolic MATLAB script that: (a) plots g(x) in the interval -2 <x< 4, (b) finds and display all of its maxima and minima, (c) evaluates g(x) at the following values of x: -21, 21, 0, 1, 2st and displays the five results. tidad
Question-2 Consider the joint uniform density function C for 22 + y2 < 4, f(x,y) 0 otherwise. What is the value of c? 0 What is P(X<0)? What is P(X <0, Y <0)? What is f( x | y=1)?
(4) Suppose that the joint density function of X, Y and Z is given by )<y <<< 1 f(x, y, z) = { otherwise. (a) Find the marginal density fz(z) (b) Find the marginalized density fxy(x, y) 72 (c) Find E (2)
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