For some c, a continuous random variable X has density f(x) = { 0, (a.) What is c? (b.) Find #x and o. for 1≤x≤4 otherwise

Q: . Let: (a) 3 1n 2 (b) be a continuous random variable with density function. If the median of this…

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Q: d) Find the conditional pdf, f(ylx) and f(xly). e) Are X and Y independent f) Find E(X)

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Q: Let U be a Uniform(0, 1) RV. Suppose X = 2U-1. What is The probability that X > 0?

A: Given that Let U be a Uniform(0, 1)  Suppose X = 2U-1 then we have to find  the probability that X…

Q: 2. Let U be a uniform continuous random variable on the interval [4, 9]. Let W = 10-2U, and let Y =…

A: U∼Uniform(4,9)Also W=10−2UandY=U

Q: Suppose two random variables X and Y are independently distributed as Unif(0, 1). Let D = Y – X, Z =…

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Q: 1 A random Pollowing density function: 3 1/4-2 { O variable x has the f(x): var (x) is - 2 ≤ x ≤ 2…

A: From the provided information, The density function is as follow: fx=14   -2≤x≤20        Otherwise

Q: Let X be a continuous random variable with the p.d.f f(r) = a2/24, if -2 < a < 4, and zero…

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Q: Let the pdf of the random variable Y be fy (y) = ce-y,y > 0, for some constant c. Let V € {-1,+1} be…

A: For any probability distribution, the total area over the range of the random variable is always…

Q: Let the joint pdf of random variables X, Y be fx,y (r, y) = axye-2-3y, for all æ > 0, y 2 0. Find a,…

A: We have given that a joint pdf of variables X and Y.

Q: et p be the largest digit in your student ID nu your student ID number. Label the first rando…

A: Here, in the question it is given that  number m is written as m = 0.pq. Given the F(x)  in the…

Q: 5. Let U and V be independent random variables, with the probability density functions 82 s≥1 {…

A: U and V are independent

Q: Suppose that two continuous random variables X and Y have joint probability density function fxy =…

A: Given that, two continuous random variables X and Y have a joint probability density function fxy…

Q: Q5. The probability density function for a random variable X is given by Jax + bx², 0≤x≤1 otherwise.…

A: The probability density fraction for a random variable X is given by:The objective is to find

Q: Which of the following functions are allowable as a probability density function for some continuous…

A: The probability density function is satisfy following conditions, f(x)≥0 ; for all xεR ∫-∞∞f(x)dx=1

Q: 2) Let X & Y have the joint probability function f(x,y) = cx²y, -y ≤ x ≤ 1,0 ≤ y ≤ 1. i) Find c such…

A: Let X and Y have the joint probability function  f(x,y)=cx2y ; -y≤x≤1, 0≤y≤1  0    ; otherwise