Find the value of C so that the function is a density function. f(x) = = [Cx4.5 if 0≤x≤ 5 otherwise

Q: Q3: Choose the correct answer Let X-F (4,8), then 3. The probability density function of X is

A: Formula: Let X follows F(c, d) The density for X is, fx=cxcddcx+dc+dxBc2,d2 Here, c=4 and d=8

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A: The solution has been attached below:

Q: Suppose that Y has density function f (y) = $ ky(1 − y), 0 ≤ y ≤ 1, 0, elsewhere. a Find the value…

A: Hey there! Thank you for posting the question. You have posted the question with mulitple subparts,…

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Q: The value of c

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Q: Using R, plot the exponential density function with param. A = 0.4 on interval ( − 1, 12).

A: The solution is given below:

Q: If x has probability density function f(x) = 12 x²(1 – x) on [0, 1], find P (;< x< 1). P;< x < 1).

A: We are given: f(x)=12x21-x  a probability density function on [0, 1] We need to evaluate: P12≤X≤1…

Q: Find the constant K such that the function f(x) below is a density function. f(x)= K², 0 ≤x≤7 K

A: given function is f(x)=Kx2      ,

Q: 12x²(1– x) for 0sxs1 f(x) = %3D otherwise

A: Solution

Q: Determine the value of c that makes the function f (x,y) = cxy for 0 < x < 4 and 0 < y < 4 satisfies…

A: Given,f(x,y)=cxy  ;  0&lt;x&lt;4 and 0&lt;y&lt;4

Q: Let X be a continuous random variable with a density function fX (x) = (c sin (πx)   0 <x <1…

A: solution:-given x be a continuous ranom variable with density functionf(x)=sin(π),0&lt;x&lt;10…

Q: Determine the value of c that makes the function f(x,y) = cxy for 0 < x < 4 and 0 < y< 4 satisfies…

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Q: 6. If the density function of X is known, the density function of Y = g(X) can be found from the CF…

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Q: Find E(X)

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Q: Let random variable X have the density function: cx² + x, 0<x<1, f(x)%3= 0, otherwise. Find the…

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Q: X ∼ U[0, 1] has a uniform distribution. Y = eX + 1 It is defined as. Specify the domain of X. Draw…

A: INTRODUCTION :  UNIFORM DISTRIBUTION:  A continuous random variable X is said to follow UNIFORM…

Q: i. the value of the constant C. ii. the marginal probability density functions of fx(x) of X and…

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Q: Let X have the probability density function (PDF) given by fx(x) = {x, 1½ x, 0, 0 <x < 2 otherwise…

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Q: Sa + bx² The density function of X is given by f (x) l0, 0<x<1 otherwise If E[X] = ², find a and b.

A: Given function is f(x)={a+bx2       0≤x≤10                otherwiseE[X]=35

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A: We know that, The probability density function of Uniform distribution is, f(x) = { 1/(b-a) ,…

Q: b) Find the marginal probability density function of Y, fy (y).

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Q: If f(x) is density function then f(x)<0.

A: Given f(x) , a density function we need to find if given statement is true / false

Q: Determine the value of c that makes the function f (x, y) = c(x + y) a joint probability density…

A: The joint probability density function of x,y is, The value of c is calculated as,

Q: Define the density function of X by f(x)=2 for x 1,2,3... and f(x)=0 otherwise. Find the moment…

A: Var(X)=E(X2)-(E(X))2

Q: Is the function defined as follows a density function? fx (x) = 0 for x < 2 (3 + 2x) 18 for 2 <x< 4…

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Q: Determine the value of c that makes the function f(x, y) = c(x + y) a joint probability density…

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Q: Find the value of C so that the function is a density function. if x < 0 f(x) = {Ce-5² if a ≥ 0.

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Q: If x has a uniform density with a=-2 and b=5. Let y=|x|. Find the probability density function of y…

A: We have given that the random variable X has a uniform density with a=-2 and b=5.   The pdf of…

Q: 2. Let X be a continuous random variable with density function f(x)= for 0≤x≤2 0, otherwise Find…

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Q: The density function of X is:  f(x) = c·x2 ·( 1 - x ).  Calculate the mode of X.

A: The density function of X is: f(x) = c·x2 ·( 1 - x ).  Calculate the mode of X.

Q: Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) =…

A: Consider the function: fx=kx12, x∈1, 4   and, for all other values of x, fx=0.   Thus, fx=0,x∈-∞,…

Q: Determine the value of c that makes the function f(x, y) = cxy for 0 < x < 4 and 0 < y < 4 satisfies…

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Q: X ∼ U [0, 1] has a uniform distribution. Y =e X + 1 It is defined as.Specify the domain of X. Draw…

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Q: Find the mean of the shifted gaussian density function as shown in figure below APx (x) Xo

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Q: fx(x) = (2) c² (0.95)³-²1{1,2,3,4,5) (2) a. с fx(x) = 2x +4¹(0-2)(x) b.

A: Solution