fXY (x, y) = - \xl – lyl, 00 < * < co, - 00

Q: Let X = b(8,) find E(5+6x) and distribution function.

A: 3) From the given information, X≈b(8, 14) E(X)=8*14=2 Consider, E5+6x=5+6E(X)…

Q: T² 2 / (x + 1) (2² + 1) dr. Evaluate

A:

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

A: K=? V(X)=?

Q: (3) Find 125 * dx I- e

A:

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

A:

Q: y=3x+4 / 2x+1 y`(0)=?

A:

Q: Determine the expected value of g(x,y) = (X^3)+(Y^2)

A: Solution

Q: det(A) Show that det(AB-') = %3D det(B)

A: Consider, Let A and B be the two n×n matrix, Now Consider, detAB-1 We know that the theorem, Let A…

Q: If F(x) is cumulative distrbution function of a continuous random variable X, the probability…

A: False

Q: 2 L₁ (2x - e²x)² dx A. B. C. D. 31e¹+36e²+3 12e4 31e¹+36e²-3 12e4 31e4-36e²+3 12e4 31e¹-36e²-3 12e4

A:

Q: - In(1) none of the choices -5 - In(3) - In(4)

A: Integration of Rational Function: A function of the form , whereand are polynomials, is called a…

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: The pdf is given as follows: f(x) = { (1/6)e^(1/6x) ; x > 0 0; ew] (i) Find the mean and variance…

A: The pdf is given as follows:f(x) = { (1/6)e^(1/6x) ; x &gt; 0

Q: Let X a b(4,) find Var(3x) and distribution function.

A:

Q: Let the joint pdf for the continuous random variables X and Y be: f(x,y) = { 6x2 ; 0 0.8 | X =…

A: (i) To find P(X=0.6, Y=0.6), you need to calculate the probability that both X and Y equal 0.6.…

Q: (2x+1)dx (x+2)^(x–1)“ (x+6)dx S (æ+2)² dx S æ (1+a²)

A:

Q: The random variable x follows a uniform probability distribution in the interval (0,1); the…

A: We know that  The pdf of Uniform distribution is  f(x) = { 1/(b-a) ,   a&lt;x&lt;b                0.…

Q: 3. Why can you not use the power rule to differentiate y = e*?

A:

Q: First derivative of ₂ F₁(x): d a {2 F₁ (a, b; c; x)} = dx a.b с 2F₁ (a +1, b+1; c + 1; x)

A:

Q: 2/3 = z/15

A:

Q: The joint PDF of a two dimensional random variable (X, Y) is given by f(x. y) = xy + ,01) (ii) P(y…

A: Given:- f(x, y)=x y2+x28,0≤x≤2,0≤x≤1

Q: p(x) = x / 5 x = 1,0,1

A: Given, p(x) = x / 5 ;        x = 1,0,1

Q: Find y'' for y = 5x +4. 25x2 y'= - O A. 2 (5x? +4) 1 y" = O B. 4 (5x2 + 4) 20 y" = OC. (5x? + 4)…

A:

Q: esin¬1 x dx V1-x2

A:

Q: 9. (25 points) Let X and Y be a random variables of the continuous type having the joint pdf f(x, y)…

A:

Q: For an exponential random variable (X) having θ = 4 and pdf given by: f(x) = (1/θ)e^(−x/θ ) where x…

A: We want to find the mean and variance and P(X&gt;3)= ?

Q: Find the sum H=p+q+rand calculate average value of the function f(x),

A: In this question we have find the average value of function f(x) in the given interval. here we used…

Q: The X be a continuous random variable with cumulative distribution function 1 F(x) = 1 for x > 0…

A: From the given information, X be continuous random variable with cumulative distribution is,…

Q: et X(1) 0. a) Show that X and X) - X() are independent for any s>r. p) Find the distribution of…

A:

Q: Let X'and Y be two continuous random variables with joint probability density (3x function given by:…

A:

Q: Let Y be a random variable with pdf f(y)= (1/18)(y^3−1) for 1 2.5). (b) Calculate the variance of Y…

A: Solution

Q: () Briefly explain how moment generating function of a random variable, y may be used to Generate…

A: As per bartleby guideline if more than one question asked only first question to be answered kindly…

Q: If X is a random variable with pdf f(x) = 2x − 2 where x = (1, 2), find the variance of Y = 2X - 3.

A: