Let H≤G & KG. Show that HnKH. Let H◄ G & K G and assume that Hn K = {e}. Show that if aeH & beK then ab = ba.

Q: A coin is tossed three times. Let X be the number of heads that turn up. Find V (X).

A: Given:A coin is tossed three times.X be the number of heads that turn up.

Q: Which of the following is equivalent to S = {spring, summer, autumn, winter}?

A:

Q: .3 , Ry* In y dy

A:

Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

A: A detailed solution is given below

Q: Let 0 < a < b. Use the Mean Value Theorem to show that

A:

Q: Let X ∼ N ( 1 , 4 ) and Y ∼ N ( 2 , 9 )be independent and let W = X2 +2Y + 3. Then what is the mean…

A: Given, Therefore,

Q: The covariance of X and Y is > 0, which of the following statement is a correct one? a. As X…

A: We have given the following statement about covariance.

Q: given u = and v= find u*v

A: To find out the dot product u*v

Q: 2. Let T=

A: Given that, T=22-1-163201 We have to find adjoint T.

Q: Let ä = . Find lä|.

A: Given :  Vector a = < 2, -5, -2 >

Q: Let a = (5,-2, 9). Find ||10||

A:

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = n(A x A x A) {red}. Find the number indicated.

A: