If the probability density function of random variable X is given by: {k(x - 1)(2 – x), 0, 1< xs 2; otherwise. f(x) =

Q: If the joint probability density function of the discrete random variables X and Y is given by if 1…

A: The marginal pdf of Y is given by: fyy=∫-∞∞fx,yx,ydx The given function is:…

Q: If the probability density function of a continuous random variable X is 0.50x 01.5)

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Q: 3. Suppose that the probability density function of X is [3x?, lo, 0 < x< 1 f(x) = otherwise…

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Q: If X is the continuous random variable whose probability density function, Find P(1≤x≤3) f(x)=8 for…

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Q: A random variable has the following probability density function -1<xs0 fx (x) = {-(2-x), 0<x<2 0,…

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Q: If X has probability density function f(x) = x/12 on [1,5], find P(1< x < 2).

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Q: A random variable has the following probability density function 1 -1--

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Q: If x is a random variable with a probability density function defined by the form x20 , S(x) =…

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Q: Suppose that X is a continuous random variable whose probability density function is given by S C(1…

A: Given,f(x)=c(1-x2); -1&lt;x&lt;10; otherwise

Q: The probability density function of the random variable X is given by: f(x)=n for 0 < x< 10, and…

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Q: If X is a random variable with probability density function 32 f (x) = for x = 0, 1, 2, 3, 4 and 5,…

A: Formula : Variance :

Q: A random variable X has the probability density fundion 1 x,2 < x< 5 5 1 5-x,5 < x <8 f(x)= - 0,…

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Q: If the probability density function of a continuous random variable X is f(x) = ⎧ .5x     0 ≤ x ≤ 2…

A: The probability density function of a continuous random variable X is,

Q: Example 16: Find the joint probability density function of the two random variables X and Y where…

A: Joint distribution is given FXYx,y=1-e-x21-e-y2,for x&gt;0, y&gt;00,otherwise (i) Find joint…

Q: 2- Let X be a random variable with the following probability density function: 4e-4x lo x >0 f(x) =…

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Q: If X is the continuous random variable whose probability density function, Find P(-2≤x≤3) for 0≤x≤ 4…

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Q: The random variable X has a probability density function given by: k 1<x< 10 f(x) =} Vx- otherwise…

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Q: 1. The random variable Y = X2 does not have a normal distribution because the probability density…

A: Given that,  X~ N(u,σ2)  Where u is mean and σ2 is variance of X.  P.d.f. of X is given by,    Y= X2

Q: The probability density function of a random variable is kx³ f(x) = if 0 < x< 2 V25 – x2 =D0…

A: Let X be a random variable. The probability density function of X is f(x). f(x) is a probability…

Q: [1] The probability density function of a random variable X is = {c(x+4), -4 4.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: A random variable has the following probability density function 1 -1--X <1 2

A: We want to find cdf and probability

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

A: Thanks for the question :)And your upvote will be really appreciable ;) Option A is correct

Q: Example – 2: Suppose a continuous random variable X has the following probability density e 4, x > 0…

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Q: If the random variable Y has the following probability density function f(G) = }5 ,0 <y<5 (0…

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Q: 1. The random variable Y = X2 does not have a normal distribution because the probability density…

A: The p.d.f of normal distribution is given by,

Q: Q1- The probability density function of the random variable X is as follows: X=x 3 1 2 3 1 P(X=x) 7.…

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Q: 2- If the probability density function of X is : f(x) : -00 <x < ∞ (1+e-*)2 1 then what is the…

A: The distribution function of y is given by…

Q: If the probability density function of a continuous random variable X is 0.50x 0x) = 0.4

A: Given,f(x)=0.5x   ;  0≤x≤20         ;  otherwise

Q: Suppose that the random variable X has the probability density function c(1– x?) for - 1< x <1 f(x)…

A: Answer - The random variable X has  the probability density function                f(X) = c(1-x2)…

Q: A continuous random variable X has the following probability density function: Jar² if-1≤x≤1 f(x) =…

A: Let x be a random continuous random variable such that (1) f(x) ≥0   for ∀ x (2) Sum of p.d.f. is 1…

Q: If f(x)= O<x<5 is a probability density function and m is unknown real number (constant), then m=

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Q: For what value of c is the function {3 [c/x5 if x 2 1 f(x) otherwise a probability density function?

A: Obtain the value of C. The value of C is obtained as follows; Probability Density function:

Q: If X ~ U(3, 15), what is the probability density function for this distribution?

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Q: If the probability density function of random variable X is given by: f(x) = {o." ( kx? + x, x €…

A: Given ,f(x)=kx2+x  ;  x∈0,10           ;  otherwise

Q: 4. Suppose that the joint distribution of X and Y can be modeled by the following probability…

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Q: 10. The probability density function for a continuous random variable X has the form, find the value…

A: For the given pdf Find c= ?

Q: Q1- The probability density function of the random variable X is as follows: X=x 1 1 1 1 P(X=x) 4. 4…

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Q: If the probability density function of a continuous random variable X is f(x) = ⎧ kx2 0 ≤ x ≤ 2 ⎨ ⎩…

A: Obtain the value of k. The value of k is obtained below as follows: The formula to obtain k is,

Q: If X is a uniform random variable in (-2 , 4) and Y = X² – 4, the probability density function g(y)…

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Q: Find E(X) and Var(X)

A: Since , the probability distribution is given by ,  = 0 ; otherwise Now , we want to find the E(X)…

Q: B) The probability density function for the random variable X is given by 0<x<3 f(x) ={(25 – x²), 0,…

A: Given function is,  f(x)=x2, 0&lt;x&lt;3(25-x2), 3≤x&lt;60, otherwise

Q: A continuous random variable has probability density function given by K(2x-3);1&lt;x2 Find k if…

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Q: Please do help me solve the problem. I am attaching the images of the question since it won't be…

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Q: If X is the continuous random variable whose probability density function, Find P≤2 for 0≤x≤ 4 f(x)…

A: In question, Given that X is a random variable having pdf f(x). Then we'll find P(X ≤ 2). The…

Q: If the probability density function of random variable X is given by: = {k(x-1)(2-x), 0, 15xS 2;…

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Q: Example 28 : If X is the continuous random variable whose density function ie if 0<x<1 f(x)={2-x if…

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Q: The probability density function of a continuous random variable is: 4 (1+x) if -1 < x < 0 x < 0) 5…

A: From the given information, fx=451+x, if -1&lt;x&lt;04153-2x, if 0≤x&lt;32   For -1&lt;x&lt;0,…

Q: [1] The probability density function of a random variable X is SC(x + 4), -4 4.

A: Note: Hey there! Thank you for the question. As you have posted several different questions…

Q: Example-1: Suppose a continuous random variable X has the following probability density eX, x > 0…

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Q: 15. A random variable X has probability density function 2x, 0 0.75 / X > 0.5).

A: We have given that,  A random variable X having probability density function is,  f(x) =   2x,  0…