GIVEN INFORMATION
{X=0, Y=0} = 36 {X=0, Y=1} = 4 {X=1, Y=0} = 4 {X=1, Y=1}...
GIVEN INFORMATION
{X=0, Y=0} = 36 {X=0, Y=1} = 4 {X=1, Y=0} = 4 {X=1, Y=1} = 6
1. Use observed cell counts found in the given information to
estimate the joint probabilities for (X = x, Y = y)
2. Find the marginal probabilities of X = x and Y = y
3. Find P (Y = 1|X = 1) and P (Y = 1|X = 0)
4. Find P (X = 1 ∪ Y = 1)
5. Use...
Create vectors x=(1,2,...,10) and y=(2,2^2,...,2^10). Then compute
the Euclidean distance and inner product between x and...
Create vectors x=(1,2,...,10) and y=(2,2^2,...,2^10). Then compute
the Euclidean distance and inner product between x and y,
respectively.
( Use R language and Do Not use "for")
2. Find a basis for R 4 that contains the vectors X = (1, 0, 0,...
2. Find a basis for R 4 that contains the vectors X = (1, 0, 0,
1) and Y = (1, 1, 0, 1).
Note: I'm not looking for the orthogonal basis, im looking for a
basis that contains those 2 vectors.
1. Let f (x, y) =
xy((x^2-y^2)/(x^2+y^2)) if, (x, y) 6= (0, 0),
0, if (x,...
1. Let f (x, y) =
xy((x^2-y^2)/(x^2+y^2)) if, (x, y) 6= (0, 0),
0, if (x, y) = (0, 0) (it's written as a piecewise function)
(a) Compute ∂f/∂y (0, 0) and ∂f/∂x (0, 0).
(b) Compute ∂f/∂y (x, 0) for all x, and ∂f/∂x (0, y) for all
y
(c) Use part (a) and (b) to compute ∂^2f/∂y∂x (0, 0) and ∂^2f/
∂x∂y (0, 0), then verify that:
∂^2f/∂y∂x (0, 0) does not equal ∂^f/ ∂x∂y (0, 0)
If X and Y are vectors of magnitude 1 and 2,
respectively, with an angle of...
If X and Y are vectors of magnitude 1 and 2,
respectively, with an angle of 120º between them. Determine I3X +
2YI and the direction of vector 3X + 2Y.
Vectors are 2D
Given the following joint density,
f(x,y)={10xy^2 if 0<x<y<1
f(x,y)={ 0 otherwise
1. frequency function x given...
Given the following joint density,
f(x,y)={10xy^2 if 0<x<y<1
f(x,y)={ 0 otherwise
1. frequency function x given y
2. E(x given y), Var(x given y)
3. Var(E(x given y), E(Var(x given y)
Solve the given LDE using the method of undetermined
coefficients. y'''-y'=4e^-x+3e^2x; y(0)=0, y'(0)=-1,
y''(0)=2
Solve the given LDE using the method of undetermined
coefficients. y'''-y'=4e^-x+3e^2x; y(0)=0, y'(0)=-1,
y''(0)=2