show how to generate random variables from a uniform density on an interval (a,b)

Q: 2kx/45' 0 < x < 5 f (x) = 2k(30 – x)/45 5 < x < 10 0, otherwise

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Q: how to find E(X), E(Y), E(X^2)

A: Given that X and Y are independent and follows N(0,1)

Q: Let (X,Y) be a two-dimensional random variable with the density function below. So P(X>1/2 |…

A: Solution

Q: Let Z be a standard normal random variable. Find formulae for the densities of |Z|, Z^2, 1/Z, and…

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Q: Let continuous bivariate random vector (X, Y ) have a jointly uniform distribution on the unit s

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: X distributed Lwo Values, X o qnd X= 2, continous random Variable at Yandom betwean a Probability…

A: 1) we know that the sum of probabilities should be one, therefore…

Q: Let X1 and X2 be two continuous random variableshaving the joint probability density f(x1, x2) =…

A: The given problem seems to have have missed information. It is not clear from the question the…

Q: the popularity density function f(x) for a uniform random variable X defined over the interval…

A: It is given that the variable X is uniform random variable with interval [2, 10].

Q: Let X and Y be two continuous random variables having joint pdf fX,Y (x, y) = (1 + XY)/4 , −1 ≤x ≤1,…

A: Given that, X and Y are two continuous random variables. The joint pdf of X and Y is given as:…

Q: The density function of two random variables X and Y is fx.y (x,y) =u(x) u( y)4e -2(x+y) Find the…

A:

Q: The density of a random variable X is f(x) = C/x^2 when x ≥ 10 and 0 otherwise. Find P(X > 20).

A: Given:fx=cx2,                                   x≥10…

Q: Prove that for the hinomial population with density function f (x, p) ="C, p`q" ¯ ', x = 1 , 2,...n.…

A:

Q: Let X and Y be two independent random variables with respective probability density functions (pdfs)…

A: Probability density function of a random variables gives the probability of the random variable at…

Q: If X is a continuous random variable find the CDF and density of the function y = x/3

A: It is given that X is a continuous random variable. Define the random variable y as:

Q: Let X, Y, and Z be independent standard normal random variables. Find the probability density…

A: From the given information, X,Y,Z~N0,1 The density function of the random variables X,Y and Z can be…

Q: X is a uniform random variable over the interval (3, 5). Find the density function of X for the…

A: Solution: From the given information, X follows uniform distribution with parameters a=3 and b=5.

Q: Show that if a random variable has a uniform density with parameters α and β, the probability that…

A: The objective is to show that if the random variable has a uniform density with parameters α and β,…

Q: If a dealer’s profit, in units of $5000, on a new automobile can be looked upon as a random variable…

A: The E(X) is calculated as follows: E(X)=2∫01x(1-x)dx=2∫01(x-x2)dx=2(x22-x33)01 =2(12-13)=13

Q: Find the probability distribution of the random variable y, which represents the number of times…

A: Given, Y 1 2 3 f(y) 130 430 930

Q: Let X be a continuous random variable with density f (x) = 24x-4 for æ > 2. Then Var (X) is equal to

A:

Q: A random variable X takes values 1,2,3,. . with probability mass function r! r= 1, 2, 3, . .o. Find…

A:

Q: Let x1,X2,.... ,Xn be a random number from a sample from the density a) f(x,0) = 0(1+æ)-(1+0), x > 0…

A: According to Bartleby guildlines we have to do first question and rest can be reposted..... We have…

Q: Define random variable X ~ Uniform(0, 8). a) What is the probability density function f(X)?

A: x ~ Uniform(0,8) find probability density function.

Q: The average amount of money spent for lunch per person in the college cafeteria is $7.15 and the…

A: Given,sample size(n)=46mean(μ)=7.15standard deviation(σ)=2.64

Q: he random vector x obtained by adding the vectors x1, x2 and x3 end-to-end has a multivariate…

A: Given: There are three vectors.

Q: Find the density of Z = (X+ Y)2, where X and Y are independent uniform random variables over (-1,…

A:

Q: A random variable X has a distribution function 0, { I1. F(x) = 1, Find its 1) coefficients A, B, 2)…

A: Given the random variable X has a distribution function Fx=           0              ,…

Q: The probability density of the random variable Z isgiven by f(z) = kze−z2for z &gt; 00 for z F 0Find…

A: The required value is calculated as follows:

Q: x' +y? ; 0<x<2, 1<y<4 fxy(x, y) 50 ; otherwise.

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted…

Q: - fxy (x, y) = {4y(x − y)e¯(x+y), 0, 0<x<∞,0 < y < x; elsewhere

A: X and Y are independent iff  F(x,y)=f(x)f(y)

Q: Let X be a uniform random variable on the interval (-3,3) and let Y = X^2 A) find E(Y). B) find the…

A:

Q: let X and Y be independent standard normal random variables. Determine the pdf of W = X^2 + Y^2.…

A: Result: If X~N(0,1) then X2~χ2(1) χ2(n1)+χ2(n2)=χ2(n1+n2)  E(χ2(n))=n and V(χ2(n))=2n

Q: Let X and Y be independent random variables. X is N(1,9) and Y is uniform on the interval {-1, 1].…

A: Given that  Let X and Y be independent random variables. X is N(1,9) and Y is uniform on the…

Q: Actuary Tong has to study for two actuarial exams: Exam P and Exam FM. The amount of study time that…

A: Probability:               Probability deals with the random occurrence of events. The probability…