a communication source emitting the following symbols S = {a, a2,a3}. Find P(a,) if 1. P(a,) = and P(az) =? 2. Р(а,) %3D 2P(а,) аnd P(a3) 3D 3. Р(а2) 3 Р(аз) — 2Р(а,)

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A: It is matrix problem.

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A:

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A: We will find answers to all the parts as following.

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A:

Q: Consider f(x) =

A: We find out the critical point of given function putting f'(x)=0.

Q: Let A= -5 2], B=[ 1 0]. Then 2A+3B= Select one: O a. [-2 2] O b. [-7 4] O C. [-9 4] O d. [-10 4]

A: If X=ab , Y=cd, then X+Y=a+cb+d .

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A: These are basic mathematics exponentials that are written as rational exponents. I have matched each…

Q: 2 1 -1 1-1 2 If A = 1 -2 3 B = -2 1 3 show that -2 1 2 2 -1 1 (A +B) = A? + AB + BA + B²

A: Given,           A=21-11-23-212 , B=1-12-2132-11

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A:

Q: Evaluate (Csch(In 1.5) 10*+1 Usinh(Ino.5) 10x-1 A. 2.9764 В. 3.7265 C. 4.1508 D. 1.8751 Evaluate…

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Q: A (2, 2)

A: To solve this question first we find out system of equation by using line coordinates

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A:

Q: 10 8- A 6- 2 -10-86 246 8 10 B -8 MathBits.com -10

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Q: 1-z ze'dxdzdy Jo Jo A. e5 - 1 OB. Ов. 2 Oc. e5- OD. 5 3 2. 3.

A:

Q: Graph the solution set to the inequality. Label coordinates of all corner points (if any). - 6x + y…

A: We have to check

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Q: 12. 을 =D2 ;+1 а. -1 аnd - 8 b. 1 аnd 8 с. -1 аnd 8 d. 1and – 8

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: В. (6,-2) and (-4, 3) C. (3,5) and (-1,4)

A: Since you have posted multiple questions, we will solve only first question (three sub parts) for…

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A: Since you have posted multiple questions, as per our policy we will answer first question (first…

Q: 7. Маximize z 3 8x, + 9х, + 5хз subject to х, + х2 + 2х; s 2 2х, + 3x, + 4хз < 3 Зх, + 3x, + х, s 4…

A: To solve the given linear programming problem using simplex method. Maximize z=8x1+9x2+5x3subject…

Q: ч 4х+5 чу+3 ІІ хр бр -

A: Given derivative is dydx=2y+34x+52. To find: The value of y as a function of x. Formula used:…