Two fair six-sided dice are rolled (one maize and one blue), with outcomes X and Y respectively for the maize and the blue die. (a) What is the covariance of X +Y and X – Y? (b) Are X +Y and X – Y independent? Explain. Hint: Is there a case where knowing the value of one would give us information about the other?

Q: Let X and Y denote be as follows: E(X) = 10, E(X2) = 125, E(Y) = 20, Var(Y) =100 , and Var(X+Y) =…

A: Given data E(X) = 10, E(X2) = 125, E(Y) = 20, Var(Y) =100 , and Var(X+Y) = 155.  W = 2X-Y and  T =…

Q: **PLEASE HELP WITH THE FOLLOWING AND PLEASE PROVIDE HANDWRITTEN WORK ON PAPER*** (9) Determine if…

A:

Q: 6. Find the matrix of the quadratic form. Assume x is in R³. a. 3x} – 2x3 + 5.x + 4x1x2 – 6x1X3 b.…

A:

Q: 1 (b) Explain why {3-7-4-4} 5 is not linearly independent.

A:

Q: Exercise 51. Is there a square matrix X with real entries such that det(X¹X) = -3?

A: detXTX=-3 X is a square matrix with real entries.

Q: Express the following as linear combinations of 1= (2, 1, 4), v= (1, – 1, 3), and w= (3, 2, 5). 8.…

A:

Q: Determine whether u= (-1, 11) is a linear combination of x =(1,3) and y=(2,-1).

A:

Q: years of school. Years of schooling is widely believed to be a major determinant of income. The…

A: Correlation is defined as the linear relationship between the two variables. Causation is defined as…

Q: How is the Jacobian formulated?

A:

Q: can you explain more about how you get fxx, fxy, and fyy

A: Given: The given function is Px,y=e9x+10y-x2-y2-33. Also,  Px=9-2x·e9x+10y-x2-y2-33…

Q: A value of r close to plus or minus 1 indicates that there is a strong linear relationship between…

A: We want tell the about correlation

Q: You can't use cross product.

A:

Q: If var(X1) = 5, var(X2) = 4, var(X3) = 7, cov(X1, X2) = 3, cov(X1, X3) = −2, and X2 and X3 are…

A: The given expression is as follows:

Q: Expand (y-3x)*. A y +12y x + 54y*x² + 108y²x³ +81x* B y+4y x+ 6y*x² + 4y²x³ + x* y - 12y x + 54y*x²…

A:

Q: Find all points where fex)= |21x-131 fails be be differenbiadle

A: Given:- f(x) = |21x-13| To find:- All points where function non differentiable

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.