Let X be a random variable having the density function, Find the variance of the random variable g(X) = 4X + 3. 16) - f(x) = {5 -1

Q: Q3/A/ Let X be a r.v with p.d.f f(x) =e-xl - 00 <x < oo, then the value of variance of X is -

A: Given :Let X be a r.v  with p.d.f f(x)=12e-|x|Formula : ∫-∞∞f(x)dx

Q: continuous random Variable X has probability Density function defined by f(x) = 5-5x;  0

A: Given: f(x) = 5-5x

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

A: Solution

Q: Find the mean of the random variable X with PDF S 3x² _if 0 <x < 1, f(x) = otherwise.

A: For the given random variable X, its pdf is

Q: 2. Let X be a random variable with density function f(x) = = √ (2x3 -8x2 +5x+6), 1<x<2, 0, elsewhere…

A: given function is f(x)=

Q: Let X be a continuous random variable that is normally distributed with mean, µu = 15 and standard…

A:

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

A: From the given information, Consider, Consider, EX=∫12xfxdx…

Q: Find the minimum mean square error forecast A forecast error e, (1) and Varfe, (1)1 for the…

A:

Q: let x denotes the percentage of time out of 40 hour workweek that a call center agent is serving a…

A:

Q: * The waiting time T (in hours) between each SMS you receive is random with the density function.…

A:

Q: 2. The continuous random variable X has density ta f(x) = otherwise (a) What is a? (b) What is the…

A:

Q: Suppose that X is a continuous unknown all of whose values are between -3 and 3 and whose PDF,…

A: Find the constant c: The value of the constant c is obtained as 1/36 from the calculation given…

Q: f(x) = {o otherwise (a) Find the value of c which makes this a valid probability density function.…

A: According to the Bartleby guidelines experts solve only one question and maximum three subparts of…

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: TRUE or FALSE If a continuous random variable U has a uniform distribution on the interval [0, 5],…

A: For continuous random variable probability at a single point is always 0

Q: a) the mean D) The variance

A: Since , the probability density function is , = 0 ; otherwise Our aim is to find the mean and…

Q: probability density function of f(x)= (1/x ln(1.5)),  4<=x<=6 and f(x) = 0 elsewhere. What is the…

A:

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: A random variable X follows the continuous uniform distribution with a lower bound of - 4 and an…

A: Answer: From the given data, X~Uniform distribution Lower bound of -4 and Upper bound of 12

Q: Let X ~ N(0,1), the standard Normal distribution. (a) Determine the 3rd moment of X. (b) Determine…

A:

Q: Find the expected value and variance of the random variableX whose density function is f(x) =…

A: Given:  fx=12x0.5i.e fx=12x12      ∵0.5=12

Q: Q2/ Let X be a random variable with normal distribution N(0,4) and Y=(X+2)² find:- 1- P(Y > 1) 2-…

A: 2) Given Y=(X+2)2, we want to find the probability that Y is greater than 1 . This is equivalent to…

Q: Let X1,…,Xn be i.i.d. Exp(λ) random variables, where λ is unknown.What is the variance and quadratic…

A: The pdf of min (xi) is as follows: Thus, min (xi) follows exponential distribution with parameter…

Q: 25. Obtain the maximum likelihood estimates for a and B in terms of the sample observations x1, x2,…

A:

Q: A continuous variable Y has a probability density function for which the moment generating function…

A:

Q: Let X have the Pareto distribution with parameter a &gt; 0. The Pareto PDF isfX (x) = a/x^a+1 if x ≥…

A: Step 1: Given that X has the Pareto distribution with parameter a &gt; 0, the probability density…

Q: A random variable X follows the continuous uniform distribution with a lower bound of - 7 and an…

A:

Q: A continuous random Variable X has probability Density function defined by f(x) = 5-5x; 0<=x<=1, =0…

A: The given function is: f(x)=5-5x, 0≤x≤1

Q: What is the variance of a continuous probability distribution given by the density function f(x) =…

A: The probability density function (PDF) is given by  for

Q: IF it was XG (23) Independent of Xen G (13) Find Miley D-Probability density Function of the…

A: Sour, The prompt states that X1 follows a Gamma distribution with a shape parameter of 2/3, and X2…

Q: Let Y₁, Y₂,. density function " Yn denote a random sample from a uniform distribution with 1, 0 ≤ y…

A: The objective of this question is to show that the α-level Likelihood Ratio Test (LRT) for a uniform…

Q: What is the variance of a continuous probability distribution function with the probability density…

A: Introduction: In probability and statistics, the variance of a continuous probability distribution…

Q: eight where the probability density function for the weight of passenger luggage is increa al Rule…

A:

Q: Let X1, X2, ..., Xn be a random sample from a Uniform(0,0 + 1) population with 0 > 0, *(3)**(3+1) X…

A: Given that, Let X1,X2,...,Xnbe a random sample from a uniform θ,θ+1population with θ&gt;0 where n is…

Q: Find the variance for g(X) = 3X* +2

A: Given f(x), we need to variance of g(X)

Q: Let X and Y be independent Exp(2) random variables. Define W = X + Y. a) Determine the correlation…

A: