Q2- Let random variable X has the following PDF 2х 0 < x < k f(x) = }k2 О.w find k such that Var(3X) = 2.

Q: 3(6x- x) Determine the mean and variance of the random variable for f(x) = 0<x< 6. 108 Round your…

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Q: Let X be a random variable with pdf f(x) = kx*,-1 <x< 1. Find E (X).

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Q: Assume that the entire sample has 4 positive observations and 2 negatives observations.  Variable…

A: Given  Number of positive observations=4 Number of negative observations=2 Left branch : P=9, N=4…

Q: Let X be a continuous random variable whose moment generating function is 4x(t) = (³.) ³. Find Var…

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Q: then the value of variance of X is

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

Q: Q2\\ let X be a continuous random variable with pdf: 0 <x <1 1 < x < 2 Sa(x) = {} otherwise Find the…

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Q: Find the mean of the random variable X with PDF S 3x² _if 0 <x < 1, f(x) = otherwise.

A: For the given random variable X, its pdf is

Q: Suppose that f (x) = e* for 0 < x Determine the mean and variance of the random variable.

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Q: Let N(m, \sigma^2) be a Gaussian distribution with mean m and variance \sigma^2. Calculate KL(N(0,…

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Q: Let X be a Poisson random variable with parameter k. (a) Show that the moment generating function…

A: Here X~ Poi(k). Then, P(X=x)=e-kkxx!,x=0,1,2,...0,otherwise a.)The Moment Generating Function of X…

Q: 'Time headway' in traffic flow is the elapsed time between the time that one car finishes passing a…

A: Formula:  Using discrete probability distribution

Q: -generating function is as follows f(x)= 2x-1/16 , x=1,2,3,4 my answer is mean = 25/8, var = 170/16…

A: x 1 2 3 4 f(x) = 2x-116

Q: - Find the cumulative distribution. Find P(x41. 5

A: The cumulative distribution fu⁸nction of X is defined as F(x) = P(X ≤ x)

Q: Let x be a continuous random variable with PDF 3 x > 1 x4 fx (x) otherwise Find the mean and…

A: Given PDF is fX(x) = 3x4,x ≥ 10,otherwise

Q: let x be a random variable with moment generating function Mx(t)=(0.6 + 0.4e^t)^20 then the variance…

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Q: Suppose that the random change in value of a financial asset is X over the first day and Y over the…

A: The variance of X+Y is calculated asVarX+Y=VarX+VarY-2CovX,Y

Q: 3. The length of time required by students to complete a 1 hour exam is a random variable with a pdf…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: Let X be a random variable with the function, -(x-4) for x > , Let f (x)={ elsewhere. Derive u and…

A: Given that X is a random variable with probability density function; f(x)=e-(x-λ), for x&gt;λ0,…

Q: For a random variable X , suppose that E[X] = 3 and Var(X) = 4. Then (a) E[(5+X)^2]=   (b) Var (2…

A: For a random variable X , suppose that E[X] = 3 and Var(X) = 4. Then (a) E[(5+X)^2]=   (b) Var (2 +…

Q: Show that the conditional variance can be written as σ^2 (X) = E { Y^2 | X} −(E[Y | X])^2     no…

A: A variance is a measurement of how far each individual in the dataset is residing from the mean and…

Q: g(X)=x^2+1 λ=5 X ∼ exp(λ) E [g (X) | {X> 3}] conditional expected Calculate the value.

A: Given X~Expλ with λ=5 gX=x2+1

Q: Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 27 psi.…

A: As per our guidelines we are supposed to answer only 3 subparts of any questions so i am solving…

Q: Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi,…

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Q: random variable X has a PDF f(x)=C(8*x−x^2) for 0<x<8, and is equal to 0 outside this range. (a)…

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Q: X is a continuous random variable and the pdf of X is x > 1 f(x) : xs1 Determine the value of k for…

A: Probability density Function -        fxx of the random variable X is define as :-…

Q: In the 2012 presidential election, exit polls from the critical state of Ohio provided the following…

A: As per our guidelines, we are allowed to answer first question only. Thanks   Given Data :

Q: We have a random variable X that is uniformly distributed on interval [-1,2]. Let Y = |X| - 1. We…

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Q: Determine the mean and the variance of X.

A: Given that  f(x) = 0.125 x    for 0&lt;x&lt;4   We know that  Mean = E(x) = ∫x.f(x) dx variance V(x)…

Q: Q5 Find the variance for the PDF px(x) = e-«/2, x > 0.

A: Given, Now,

Q: Q3/A/ Let X be a r.v with p.d.f f(x) = e-ll - co <x<0, then the value of variance of X is -

A: Given : X is a random variable with PDF             fx=12e-x , -∞&lt;x&lt;∞ To find : Variance of X

Q: Find the mean of random variable of X, if X is random variable with pdf f(x) = c(1-x²), -1<x< 1and 0…

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Q: Show that variance o? (x²) – ((x))²

A: Solution

Q: Suppose X is a random variable whose pdf is given by f(x) =k(4x-2x^2) 01)

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.