What is the expected value of the function g (X, Y) = (XY)²

Q: What is the value if the constant c for p(x) to qualify as a probability mass function?…

A: Solution: From the given information, the probability mass function of X is

Q: X has the uniform distribution [0,1] Put Y=2x + 5.  If f(x) is the pdf of Y then f(x) = ?

A: Here, X follows uniform (0, 1). Consider Y=2x+5. The cdf of Y, as follows:

Q: distribution function.

A: 'Given X~Uniform with (4) parameter as one parameter is not given consider it as zero therefore…

Q: f(x) = Ve

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Q: A random variable X has a pdf   f(x) = { kex, x<0             0   , otherwise }   Determine the…

A: K=? V(X)=?

Q: Please

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Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

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Q: Find the marginal PDFs of X and Y.

A: The joint pdf is given by

Q: Prove that the mean and variance are obtainable from RX(t)= ln(MX(t)): MEAN=E(X)=Rx'(0),…

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Q: iid 2. Let Y1,..., Yn-1 xỉ and consider U = E Y;. n-1 i=1 (a) Show that U~ (b) What is the…

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Q: Find the mean value of the function f(X,Y)= X² + y².

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Q: If X has an exponential distribution, show thatP[(X Ú t + T)|(x ÚT)] = P(X Ú t)

A: Suppose X follows an exponential distribution with parameter λ. The RHS is given by:

Q: X follows a gamma distribution with PDF  f(x) = 4xe-2x , where X > 0 (a) Derive E(Xn ).

A: Given,  fx=4xe-2x, x&gt;0 Therefore, Exn=∫0∞xnfxdx=∫0∞xn×4xe-2xdx=∫0∞4×xn+1e-2xdx=4×∫0∞xn+2-1e-2x dx

Q: find the fallowing Js(x)

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Q: Find the mean and standard deviation for each uniform continuous model U(1, 13) U(70, 200) U(3, 92)

A: Obtain the mean and standard deviation for the uniform continuous model U(1,13). Obtain the mean of…

Q: (1) Let X = b(16,) find E(4-3x) and distribution function.

A: From the provided information, X~b (16, 1/4) Sample size (n) = 16 Probability (p) = 1/4

Q: 68. Let X be a continuous random variable with pdf (a) Find the pdf for Y = √X. (b) Find the pdf for…

A: Pdf of X is fx(x)=3x2 ,0,&lt;x&lt;1

Q: Find the values of constants 'a' and b' such that Fx (x) = [1-a ·e*/b] u (x) is a valid distribution…

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Q: Example 2.17 Let X be a continuous type random variable with PDF given as f(x) = 27 Let Y be another…

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Q: The density function of Xis (2(x-1), f(x)= (a) Find the mean E(4X+3); (b) Find the variance σ3x+2.…

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Q: (21) Let X b (12,5) find E(5+6x) and distribution function.

A: Given,X≈b(12,23 )E(x)=npE(x)=12×23 E(x)=8

Q: Suppose that n observations are chosen at random from a continuous pdf fY(y).  What is the…

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Q: ind the general solution of the given system of equations. 1 1 4 x' =| 1 4 1 x 4 1 1

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Q: A random process X(t) is applied as input to a system whose impulse response is h(t) 3u(t)t² exp…

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Q: f(x)= k(3x+4), x = -1,0,1,2 Find expected value E(X) .

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Q: Suppose the random variable T is the length of life of an object (possibly the lifetime of an…

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Q: Suppose the random variable T is the length of life of an object (possibly the lifetime of an…

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Q: Calculate correlation and probable error between physical parameters (temperature and humidity)…

A: The given values of x and y variables as shown belowAutumn:Temperature (y): 24.1Humidity (y):…