Let X =( X1,
X2, X3 ) have the joint pdf
f(x1, x2,
x3)=60x1x22, where
x1...
Let X =( X1,
X2, X3 ) have the joint pdf
f(x1, x2,
x3)=60x1x22, where
x1 + x2 + x3=1 and
xi >0 for i = 1,2,3. find the
distribution of X1 ? Find
E(X1).
Find the matrix for each of the following quadratic forms.
(a)
q(x1,
x2, x3) =...
Find the matrix for each of the following quadratic forms.
(a)
q(x1,
x2, x3) =
7x12 +
3x22 −
4x32 +
12x1x2 +
18x2x3
b)
q(x1,
x2, x3) =
x1x2 +
x1x3 −
x2x3
Let T: P3→P3 be given by T(p(x)) =p(2x) and consider the bases
B={1, x, x2, x3}and...
Let T: P3→P3 be given by T(p(x)) =p(2x) and consider the bases
B={1, x, x2, x3}and B′={1, x−1,(x−1)2,(x−1)3} of P3.
(a) Find the matrix of T relative to B.
(b) Find the change of basis matrix from B′ to B.
I am having a general question for linear equation. Suppose we
have matrix A, B,x where...
I am having a general question for linear equation. Suppose we
have matrix A, B,x where A is non-invertible and A,B,x are 3x3
matrices. If we have Ax= B mod 26, then how do we solve for x?
Let X = ( X1, X2, X3, ,,,, Xn ) is iid,
f(x, a, b) =...
Let X = ( X1, X2, X3, ,,,, Xn ) is iid,
f(x, a, b) = 1/ab * (x/a)^{(1-b)/b} 0 <= x <= a ,,,,, b
< 1
then,
Show the density of the statistic T = X(n) is given by
FX(n) (x) = n/ab * (x/a)^{n/(b-1}} for 0 <= x <=
a ; otherwise zero.
# using the following
P (X(n) < x ) = P (X1 < x, X2 < x, ,,,,,,,,, Xn < x
),
Then assume...