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: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

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

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Q: et f = xi+ yj + zk and g = |f|. Then Ve9 =

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Q: danx fonthebougast Awiwnitean quakin yo bomx+ fthe Camve Le Secx 19-

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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 X-bin(12,0.4), then P(5 <= X < 10) is closest to: a. 0.334 b. 0.562 c. 0.332 d. 0.335 e. 0.559

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Q: Let 0 &lt; a &lt; b. Use the Mean Value Theorem to show that

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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: K 93 L J 72

A: Given a right angled triangle in which adjacent side is 72 units and hypotenuses is 93 units.

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 = &lt; 2, -5, -2 &gt;

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

A:

Q: 1. FIND ALL NUMBERS Z SUCH A23 Bz? +C2 = D 2 4 2 THAT %3D A = 13 1| T-1117 B = 124 2] 1 -2 -1 1 3 1…

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly C=AD=-B

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: