Let X be a random variable with the following probability distribution: X = -3 6. 1 p(x) = x = 6 x = 9 .3 a) Find E(X) and E(X?) b) Find E[(2X+1)²]

Q: Let X be a random variable with probability distribution as shown below: -1<x<2 f (x)={3 and…

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Q: Let X be a random variable with the following probability distribution. -4 0 1 2 P(X=x) 0.2 0.3 0.4…

A: No, µ is not a possible value of X.

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A: The E(g(X)) is calculated as E(g(X)) = E(10X + 5) = 10.E(X) + 5

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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

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A: Find  Var(3X+2)=? 5E(2X-1)=? E(2X+1)2=?

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Q: For a continuous random variable X. we can compute the probability of P (a < X<b) by O Fibl-Fla) O…

A: GivenP(a&lt;X≤b)

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A: Given  :    pxx  =1xx+1,  x=1,2,3,...

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A: Explanation of the answer is as follows

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Q: Let X be a random variable with p.d.f. 3e-3x f(x) = { 0 <x<00 , find E(x) O.w

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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Q: 4 f(x) = OTHERWİSE 0, -12112

A: EX=∫-20x.fxdx+∫02x.fxdx=∫-20x12+x4dx+∫02x12-x4dx=∫-20x2+x24dx+∫02x2-x24dx=12∫-20xdx+14∫-20x2dx+12∫02…

Q: Let X be a random variable with p.d.f. 2e-2x f(x)=< 0<x<0 , find E(e2") O.w

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Q: Let X be a random variable with probability distribution as shown below: 25 2 <x< 10 f(x) = {3x and…

A: The E(g(X)) is calculated as E(g(X)) = E(10X + 5) = 10E(X) + 5

Q: Let X and Y be two independent exponential random variables. X ~

A: Given,  X and Y be two independent exponential random variables.                       X~exp(1) and…

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Q: Let X be a random variable with probability distribution as shown below: 25 2 < x < 10 f(x) = }3x3…

A: The E(g(X)) is calculated as E(g(X)) = E(5X) = 5.E(X)

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.