Let X and Y have the following joint probability function. a) Find the probability functions for X + Y, XY, X /Y. (b) Using the p.f. ’ s obtained in (a), find E(X + Y), E(XY), E(X/Y), Var(X + Y). (c) Find the p.f. ’s of X and of Y. Determine E(X), E(Y), Var(X) and Var(Y).

Let X and Y have the following joint probability function. a) Find the probability functions for X + Y, XY, X /Y. (b) Using the p.f. ’ s obtained in (a), find E(X + Y), E(XY), E(X/Y), Var(X + Y). (c) Find the p.f. ’s of X and of Y. Determine E(X), E(Y), Var(X) and Var(Y).

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: Find the probability distribution of X|Y = 0, and E [X|Y = 0] . b. Find E[Y] and E[X]. c. Find the…

A: X\Y 0 1 2 0 212 112 512 1 112 112 212

Q: IV. Find the mean of the probability distribution: X· P(X) P(X) 3/50 21/50 11/50 3/25 3/50 3 4 5…

A: Given :

Q: Let the Probability Mass Function as follows: f(-1)3D0.2, f(2)=D0.3, f(3)%=D0.3 and f(0)=??, Thes 0.…

A: Given information: f(-1)=0.2 f(2)=0.3 f(3)=0.3 f(0)=? From the total probability condition,…

Q: Prove let B= 6+ I %3D : m = ',2,3, 3m S. Then inf(8) =6

Q: Let the joint probability function for Y, and Y2 be Y1 Y2 0 0 3/202/200/20 3 6/20 0 9/20 3 E[ ECY I…

Q: The lung cancer hazard rate λ(t) of a t-year-old male smoker is such that λ(t) = 0.027 +…

A: Given that the lung cancer hazard rate of a t-year-old male smoker as

Q: In each case, determine the value of the constant c that makes the probability statement correct.…

A: (a) Φ(c) = 0.9846(b) P(0 ≤ Z ≤ c) = 0.2995(c) P(c ≤ Z) = 0.1335

Q: (a) If Z~N(0, 1), find the value of k if P(Z > k) = 0.3015. If X~N(50, 102), find the probability…

A: a) z~N(0,1)

Q: The common probability function of X and Y random variables like this a. Find the value of Cov (X,…

Q: (d) Find the probability P(Y = 1|X=2) = %3D (e) Find the probability P(X = 2|Y =0) = %3D %3D (f)…

A: Given Joint PDF : The sum of all probabilities should be 1 a + 0.3 + 0.4 + 0.2 = 1 a = 1 - 0.9 =…

Q: (E,-0,) Estimate 0 by minimizing the function where E, is the expected number of j=1 losses in the…

Q: The probability density function of a random variable X is shown in the figure below. fx (x) 3 1 5 k…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: f(x), a continuous probability function, is equal to 1/20 , and the function is restricted to 3 ≤ x…

A: Given,f(x)=120 ; 3≤x≤23

Q: Let f(x) be the probability function of the geo(p) distribution. Prove that: a) f(x) is indeed a…

A: Given that fx be the probability function of the geop distribution.

Q: 4. "Time headway" In highway traffic flow the elapsed time between the time that one car finishes…

A: Given the probability density function of the random variable X, the time headway for two randomly…

Q: A four-sided die has two faces numbered 0 and two faces numbered 2. Another four-sided die has its…

A: Given that, a four-sided die has two faces numbered 0 and two faces numbered 2. i.e.0,0,2,2. Another…

Q: B- Show that if the following function be probability function: for 0<x< f(x) = -² 124 0 0. W

A: Explanation of the answer is as follows

Q: Q3: Suppose that X and Y have the following joint probability function given by table: fix, y) 1 2 1…

A: We have given that, Let X and Y heaving joint probability distribution. Then, We will find, 1)…

Q: b) For the triangular function c(10-x) 0<x<10 f(x)={° otherwise Find the value of c which makes the…

A: From the provided information,

Q: Determine the value of k such that this will be a probability mass function for x = 17, 19, 21, 23:…

A: To determine the value of k such that f(x) is a probability mass function (PMF), we need to ensure…

Q: Let (Y₁,..., YK) be multinomially distributed with parameters n and p₁,..., PK. Let ₁,...,UK E No…

A: Y,Y2,...,YK is multinomially distributed with parameters n and p1,p2,...,pK. y1,...,yK∈ℕ0 with…

Q: Assume that the joint probability function for X and Y is fxy (x, y) = 4 x 10-exp(-0.004x - 0.002y)…

A: From the given information, The joint probability function for X and Y is,…

Q: Find E(X) and E(Y) then find E(Z) using the expectation of X and expectation of Y Z=X+2Y

Q: Let X and Y be two events having a joint probability function given as 3 (x² + y²), 0 0.75). What

A: Give joint probability function is: fx,y=32x2+y20≤x,y≤10elsewhere A). PX≤12,Y≤12…

Q: Determine the value of c and the covariance and correlation for the joint probability mass function…

Q: What do the functions Y LY, Y look like? Are there any maximum or minimum probability at any…

A: By the functions Y1,1 , Y1,0 , Y1,-1. Y1,1=-38πsinθeiφ The probability density is:…

Q: (a) The cumulative function Fx(x). (b) The median. (c) The mode.

A: Here AS PER POLICY I HAVE CALCULATED 3 SUBPART PLZ REPOST FOR REMAINING PARTS

Q: x P(X=x) 0 14 1 38 2 38 x P(X=x) 0 18 1 18 2 34 x P(X=x) 0 −310 1 110 2 15 3 1 x…

A: None of the above pmf is valid

Q: and the variance for x and y.

Q: f(x) for a continuous probability function is 1/18 , and the function is restricted to 2 ≤ x ≤ 20.…

Q: Let the probability distribution function of X be defined as follows. (0.6+x x =0,1,2,3 10 S(x)={…

A: Here, we have

Q: ASAP. Proof. LetXbea discreterandomvariable with probability functionpX(x);then…

Q: A convenience store has two separate locations where customers can be checked out as they leave.…

A: For marginal distribution of X is P(X=x)=∑yp(X=x,Y=y) And the marginal density of Y…

Q: 2) Let the joint probability function of X & Y be defined by Pxy(x, y) = Find E(Y|X = 2). What is…

A: First we will create the joint probability distribution table for every value of x and y using the…

Q: 2. Let the joint probability function of X and Y be given by (x+ x) if x 0, 1, 2 and y = 1, 2 p(x,…

Q: Let the Probability Mass Function as follows: f(-1)%3D0.2, f(2)3D0.3, f(3)3D0.3 and f(0)=??, Then…

Q: Suppose X and Y have the joint probability distribution given by the table shown below. Compute…

Q: The probability density function of a discrete random variable X is given by the following table:…

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

Question

Let X and Y have the following joint probability function.

a) Find the probability functions for X + Y, XY, X /Y.

(b) Using the p.f. ’ s obtained in (a), find E(X + Y), E(XY), E(X/Y), Var(X + Y).

X
у
1
2
3
1 2 3
.1 .1
.1 .2
.1
.1
0 0
.3
0

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Using 2 independent DRVS X and Y with probability distribution px(x) and py (y) below, find E(Z) where Z = X + Y X 1 2 3 4 Px(x) 1/8 3/16 3/8 3/16 1/8 Y 3 4 5 Py(y) 1/4 1/4 1/4 1/4
The time t (in hours) required for a new employee to succesfully learn to operate a machine in a manufacturing process is described by the probability function f(t) = kt/16 – t for 0
Q1 Let probability distribution function of Xbe defined by х %3D 0,1, 2, 3. a P(x) = otherwise. Find the value of a. (а) (b) (c) (d) Find P(-1
Let the Probability Mass Function as follows: f(-1)=0.2, f(2)=0.3, f(3)=0.35 and f(0)=??, Then F(2)- a 0.35 O b.0.65 c0.15 d. 0.3 ge
For each probability expression, find the unknown z- value(s). Unless directed otherwise, use three decimals in your answers. (a) P(Z ≤ zo) = 0.86. Find zo. 20 (b) P(Z ≤ zo) = 0.24. Find zo. 20 = 20 (c) P(Z ≥ zo) = 0.4. Find zo. = 20 = (c) P(z0 ≤ Z ≤ 0.64) = 0.5988. Find zo. = (use two decimals)
f(x)= k(3x+4), x = -1,0,1,2 Find expected value E(X) . Select one: O a. 0.5 O b. 1 O c. 1.182 с. O d. 1.5
(Revision.) Let X = Wo.5 + 0.5W1 – 2W2 – W3, where (W1, t > 0) is standard BM. Find the expectation E(X²).
Q3: Suppose the joint probability function of X and Y is given by x= 5, y = 0 7 x= 5, y = 3 7 x = 5, y = 4 P (x,y)- *= 8, y = 0 7 x= 8, y = 4 else Compute E(X|Y-0), E(X|Y 4), E(X|Y=3)
Thank you in Advance for quick response. Best,