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X y matrix is the tool for Six sigma used mostly during the DMAIC measure phase. If you want to learn much about it then you need to ask an expert who is available in six sigma training
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Relationship between rayleigh distribution and gaussian distribution?
If X and Y are independent Gaussian random variables with mean 0 and standard deviation sigma, then sqrt(X^2 + Y^2) has a Rayleigh distribution with parameter sigma.
What is y squared multiplied by y cubed?
y^2 X y^3 = y^(2 + 3) = y^5 You can only do this if the coefficient 'y' is the same for both terms. Remember y^2 = y X y y^3 = y X y X y Hence y^2 X y^3 = y X y X y X y X y = y^5 Similarly for division/subtraction y^3 / y^2 = y^(3 - 2 ) = y^1 = y The power of '1' is trivial and not normally shown. NB You CANNOT do z^2 X y^3 by adding the indices. z^2 X y^3 is (z^2)*(y^3)
What is joint probability function?
The joint probability function for two variables is a probability function whose domain is a subset of two dimensional space. The joint probability function for discrete random variables X and Y is given aspr(x, y) = pr(X = x and Y = y). If X and Y are independent random variables then this will equal pr(X =x)*pr(Y = y).For continuous variables, the joint funtion is defined analogously:f(x, y) = pr(X < x and Y < y).
What is joint probability?
Let X and Y be two random variables.Case (1) - Discrete CaseIf P(X = x) denotes the probability that the random variable X takes the value x, then the joint probability of X and Y is P(X = x and Y = y).Case (2) - Continuous CaseIf P(a < X < b) is the probability of the random variable X taking a value in the real interval (a, b), then the joint probability of X and Y is P(a < X< b and c < Y < d).Basically joint probability is the probability of two events happening (or not).
Moment generating function of a bivariate normal distribution?
MX,Y(s,t) = exp{μxs + μYt + ½(σX2s2 + 2ρσXσYst + σY2t2)} Where X ~ N (μx , σX) and Y ~ N (μY , σY). Also Corr(X,Y) = Cov (X,Y)/{Var(X) . Var(Y)} = ρ
What is a 1x2 matrix?
It is a matrix with 1 row and two columns: something like (x, y).
Find smallest no in matrix in c plus plus?
Store the first value in the matrix, then compare every value in the matrix with the stored value, replacing the stored value if the current value is smaller. For instance, the following snippet will locate the smallest int value in a 3x4 matrix named A: int smallest=A[0][0]; for(int x=0; x<3; ++x ) { for(int y=0; y<4; ++y ) { if(A[x][y]<smallest ) { smallest=A[x][y]; } } }
Relationship between rayleigh distribution and gaussian distribution?
If X and Y are independent Gaussian random variables with mean 0 and standard deviation sigma, then sqrt(X^2 + Y^2) has a Rayleigh distribution with parameter sigma.
What is the Algorithm for transpose of matrix in python?
Algorithm: transpose Input: a matrix M[x][y] Output: the transpose of M (a matrix of order y * x) allocate N[y][x] for r = 0 to x-1 // iterate over rows for c = 0 to y-1 // iterate over columns N[c][r] = M[r][c] next c next r return N
What are the matrix method of linear systems?
Consider the linear system of equations AX = YwhereX is a n x 1 matrix of variables,Y is a n x 1 matrix of constants, andA is an n x n matrix of coefficients.Provided A is not a singular matrix, A has an inverse, A-1, an n x n matrix.Premultiplying by A-1 gives A-1AX = A-1Y or X = A-1Y, the solution to the linear system.
What is the formula for rotating a shape 90 degrees?
The rotation matrix for a 90° rotation is [[0,-1],[1,0]] More simply, if our shape is a function of x and y, we swap x and y and then negate y. For instance: if our function is y=x, then the 90° rotation would be x=-y
How to write incidence matrix?
An incidence matrix is a mathematical matrix showing a relationship between two different types of objects. The first class can be written as X and the second as Y with one row for each element of X and one column for each element of Y. The entry in row x and column 1 should be 1 if x and y are related to one another. The entry in row x and column 1 should be 0 if they are not related to each other,
How do you rotate a image clockwise?
A picture is just a two-dimensional matrix of pixel colour values. However, the element type is of no importance to the algorithm so, for the purpose of this answer, we'll use a matrix of characters to better illustrate the steps required. Given the following matrix: A B C X Y Z The rotated matrix would be: X A Y B Z C Thus given a matrix M[X][Y], the rotated matrix N will be N[Y][X]. In other words, the dimensions are transposed. So before we can rotate we first need to transpose the matrix: for a = 0 to X for b = 0 to Y N[b][a] = M[a][b] next b next a At this point, N has the following layout: A X B Y C Z To complete the rotation, we simply reverse each row: for a = 0 to Y for b = 0 to X / 2 swap (N[a][b], N[a][X-b]) next b next a To rotate 270 degrees clockwise (or 90 degrees anti-clockwise), we reverse the columns after transposing: for b = 0 to X for a = 0 to Y / 2 swap (N[a][b], N[Y-a][b]) next a next b To rotate by 180 degrees, we reverse each row and then reverse each column (without transposing). Note that all these rotations have a time complexity of O(X*Y*2) because every element has to be written twice. Space complexity is O(X*Y) for transposes and O(1) for reversals. However, when X is equal to Y (square matrix), transposing can be achieved in-place by reversing elements across the primary diagonal.
What is the answer do this matrix in arbitrary form 3x-6y-z equals 6 and x plus y plus 3x equals 5?
It is a singular matrix.
What is the answer to this matrix in arbitrary form- 3x 6y-z equals 9 and x plus y plus 3z equals 4?
It is a singular matrix.
For x plus y plus z equals 9 2x-y-z equals -6 and x plus y-z equals 1 what is the echelon matrix?
3x + 2 = 82
What two numbers have the sum of ten and a difference of six?
x + y = 10 x - y = 6 2x = 16 x = 8, y = 2
