X and Y are independent random variables with the following distribution: Distribution of X X 1 2 f(X) .3 .7 Distribution of Y Y 5 10 15 g(Y) .2 .5 .3 1) What is the joint distribution of X and Y? 2) Find E(X) [expected value of X] 3) Find Var(X) [Variance of X] 4) Find Var(2-3X)

X and Y are independent random variables with the following distribution: Distribution of X X 1 2 f(X) .3 .7 Distribution of Y Y 5 10 15 g(Y) .2 .5 .3 1) What is the joint distribution of X and Y? 2) Find E(X) [expected value of X] 3) Find Var(X) [Variance of X] 4) Find Var(2-3X)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 3(6x- x) Determine the mean and variance of the random variable for f(x) = 0<x< 6. 108 Round your…

Q: True or False; For a continuous random variable X, P(X=x) = f(x) 1. True 2.False

A: In statistics, the continuous variables are variables whose values can be given by an interval, they…

Q: If X and Y are two independent random variables such that E[X]=2, variance of X = o}, E[Y]= 1, and…

Q: I need help finding the Maximum Likelihood estimator of Y1,Y2,...,Yn with a random sample size n…

A: The cumulative distribution of is given by

Q: If x1, x2, . . . , xn are the values of a random sample from a normal population with the known…

A: Solution

Q: (a) Find the values of a and B. b) Find the probability that on any given day the daily power…

A: Given thatIn a random variable x having a gamma distribution with mean = 9 and variance =27

Q: Give the derivation of the variance for the binomial distribution.

A: X~Bin(n,p)

Q: (a) p IX – 31 2 2 (b) p IX – 31 2 1

Q: If the X distribution of the number of fines is given by a binomial distribution (x, n = 8, p = 0.7)…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving…

Q: Which of the following is true about variance and standard deviation? a) The standard deviation…

A: The question is asking us to identify the correct statement about variance and standard deviation,…

Q: Let ZZ be a discrete random variable taking one of the four distributions covered in Chapter 10.…

Q: Q3: let x be random variable with Beta distribution, find the V(x)?

A: Beta Distribution: A continuous random variable X is said to follow Beta distribution with…

Q: A manufacturer of children’s vitamins claims that its vitamins are mixed so that each batch has…

A: State the hypotheses. Null hypothesis: Alternative hypothesis:

Q: Let the random variables X and Y have a joint normal distribution with E(X) ar(X) = Var(Y) = 1, and…

A: Given information: E(X)=0E(Y)=0Var(X)=1Var(Y)=1ρ=-0.6Covx,yV(x)*V(y)=-0.6 Covx,y=-0.6 a)…

Q: The PDF of the random variable X is fx (x)=-; 0<x<9. 6√x What are i) mean, ii) the mean square value…

Q: c) What is the probability that the observed depth is at most 9? . (round your answer to 4 decimal…

Q: Suppose that the random variable X has the following cumulative distribution function. F(x) = x 3…

A: Note: According to Bartleby guidelines expert solve only one question and maximum three subpart of…

Q: I independent random variables X' and Y' have the variances 36 and 16 respectively, find the…

Q: X is a positive discrete uniform random variable. The mean and the variance of X are equal to…

A: Given,X is a positive discrete uniform random variable with mean = 6 and variance = 4.We need to…

Q: Q2) Let X, X X. iid N(H,0), be a random sample from the normal population where u is assumed known.…

Q: Given a normally distributed population with a mean of 100 and variance 100, find ) P(90 s xs 115)…

A: As per company guidelines I solved exactly three subparts of this question.thank you

Q: What is the distribution of X? 1) Out of the 38 pizzas that you try, how many would you expect to…

A: Let p be the probability of you liking the pizza. Given that p = 0.08

Q: "What is the correlation coefficient for this condition? X is the voltage across a resistor, Y is…

A: We have given that the statement about to the correlation condition of X and Y. Note: According to…

Q: Suppose that X and Y are random variables where the conditional expected value of Y given X is given…

A: # random variable x and y such given E(y/x)=3*X+6 E(x)=0 & var(x)=9 Then to find minimum…

Q: The useful life of a concrete built on the seashore has a Weibull distribution of parameter scale δ>…

A: Let us define X as the life of a concrete built on the seashore has a Weibull distribution with…

Q: Let Y, represent the ith normal population with unknown mean 4, and unknown variance of for i=1,2.…

A: As per guidelines of Bartleby, we have given solution of only first 3 parts

Q: b) Find the variance Var(X) of X.

Q: et x be a binomially distributed random variable with parameters n and p. For what value of p is…

Q: Suppose (X1, X2, ... , X12) is a random sample from Normal(u = 4, σ = 62). If we let x̄ be the…

A: From the given information, It is provided that there are 12 random samples from the normal…

Q: mean of the probability distribution on the random variable

Q: A random variable X can take only the values 2, -2, and 4. It is known that Pr[X = 2] = 0.3 and Pr[X…

Q: Let xyz be the random quantities of three standard normal distributions, corr(X,Y) = 0.3, corr(X,Z)…

A: It is given that XYZ are the three quantities of the three standard normal distributions. The…

Q: Let X1 and X2 be independent random variables from a normal distribution with mean equal to one and…

A: X1,X2 are independent normal random variables, N(1,12)Objective : Find the distribution of…

Q: Soalan/ Question 2: Given a normally distributed population with a mean of 75 and a variance of 625,…

A: Given that mean =75 , variance = 625

Q: X is a uniform random variable with expected value μx = 7 and variance Var[X] = 3. What is the PDF…

A: The objective of the question is to find the Probability Density Function (PDF) of a uniform random…

Q: Let's take XI, X2 ... Хой a radom sample of distribution defined in from the uniform (0, 0+1). Is…

Q: find the expected value of Y and the variance of Y to three decimal places where approp

A: Let Xi be independent uniform (-9, 9) random variables.Formula:If X follows U(a,…

Q: Let xyz be the random quantities of three standard normal distributions, corr(X,Y) = 0.3, corr(X,Z)…

A: Given information: It is given that X, Y, Z are random quantities of three standard normal…

Q: Random variable X has cost function 3X + 600. The expected value of X is 20 and the variance of X is…

A: Given: Cost function = 3X + 600 E[X] = 20 V[X] = 4 Formula Used: E(aX+b) = aE[X] + b V(aX + b) = a2…

Q: the maximum likelihood estimator of a random variable x with uniform distribution U(0, 0), 0 =…

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…

Question

X and Y are independent random variables with the following distribution:

Distribution of X

X	1	2
f(X)	.3	.7

Distribution of Y

Y	5	10	15
g(Y)	.2	.5	.3

1) What is the joint distribution of X and Y?

2) Find E(X) [expected value of X]

3) Find Var(X) [Variance of X]

4) Find Var(2-3X)

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

5) Let Y be binomial (n = 4, II = .3) (a) Calculate the mean and variance by filling in the following table: f(yi) Xi X f(Yi) Yi2 X f(yi) b) Calculate the mean and variance of Y using formulas.
Suppose that the Cumulative distribution function (CDF) of the random variable X with parameter e > 0 is defined by F(x; 6) = 1-e x>0 (8) i) What is the variance of X,V (X)? (7)
x is a random variable with a mean ux = 70 and variance o*2 = 36 Find the arithmetic scale and variance. 1) for the variable y where y=-2x+5 2) for the variable z where z=x-70/6
Show that the variance of a geometric random variable X; is given by V ar(X) = q/p^2 .
By hand solution needed only
I only need the answer
Urgent solution required
2x + 1 25 a. P(X= 4) b. P(X -10) 3.1.11 WP SS VS f(x) = x = 0, 1, 2, 3, 4 3.3.3 WP VS Determine the mean and variance of the random variable in Exercise 3.1.11.
Let x, x2, ..., Xn be a random sample from a Poisson distribution with parameter 2. Find ML estimator of 2. Also find its variance.
X and Y be standard normal random variables with correlation p. Compute the joint and marginal distributions of X+Y and X-Y. Are X+Y and X−Y independent?
4
X is a Uniform(8, 20) random variable what is Var(X)=?