a) Find the marginal pmfs of X and Y b) Find the conditional pmf of X given Y = 1 The joint pmf of two discrete random variables, X and Y, is given in the following table:Y1234X1.10.05.02.0234.02.02.05 .02.20 .04.102.05.20.05.02 .04

The joint distribution of X,Y is given…

Answered: Find the marginal pmfs of X and Y b)…

Math

Probability

Find the marginal pmfs of X and Y b) Find the conditional pmf of X given Y = 1

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: 3. Suppose that the joint denstiy function of X and Y random variables is (2x+3y S(x, y) = { 23 1<x<…

Q: 3 Suppose that it was found that the sample median X =. Give a point estimate of 0.

Q: Assume we have a linear model with 2 X variables, X1, X2. Show that the variance inflation factors…

A: variance inflation factor (VIF) : is the ratio of the variance of estimating some parameter in a…

Q: The joint PDF of X and Y is given as {2, 0Sxsys1 lo, f(x, y) = otherwise a. Find the marginal PDF…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: 6. A chemical system that results from a chemical reaction has two important components among others…

A: Given, the joint distribution of X1 and X2 is

Q: In the least-squares regression model, y, = B, X; + Bo +&, &, is a random error term with mean and…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: usties/YEAR%202%202019-2020/FIRST%20SEMESTER/ST2505/ST2501%20Exercise P(|X1 - X2| > 2). 7. A…

A: Suppose, X be the strength measurements. X is normally distributed with mean μ and standard…

Q: A congressional committee is composed of 10 members: 6 Republicans and 4 Democrats. On any given…

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

Q: • If the joint PDF of X and Y is shown as follows: fx,x(x, y) = e-(x+y) Find the following: 12) The…

Q: Suppose X - Par (a = 4,0 = 300) with d = 20 a) Find the expected value of the cost per loss, E [Y].…

A: Given that X~Parα=4, θ=300 with d=20

Q: If Var(X1) = 2, Var(X2) = 4, Var(X3) = 3, Cov(X1, X2) = 1, Cov(X1, X3) = -2, and X2 and X3 are…

A: Solution

Q: Find the t values that form the boundaries of the critical region for a two-tailed test and a…

Q: Based on a sample on n observations, (x1, y1 ), (x2, y2 ), c, (xn, yn), the sample regression of y…

A: For n sampled observations of x1, y1, x2, y2,...xn, yn, the sample regression of y on x is given as:…

Q: If X is a Poisson variate with mean , show that =1\| = ? 2 Е(x)- ЛЕ(x +1). If л%3D1 show that E\x -…

A: Poisson distribution:

Q: oFind ke mean maximum tamperature, Soup recorded. M) Plöt and label the point ME the Scater diagram.…

A: Given data To find: i) mean of the temperature ii) scatterplot iii) scatterplot with regression line…

Q: Let Y represent the profit (or loss) for a certain company X years after 1970. Based on the data…

A: The regression equation is Y=-2.26X+18.00.

Q: A class-B transistor amplifier with a volage gain of two has cross-over distortion, resulting in a…

Q: Let X and Y be two independent normal rvs with means u = 10 and u = 4 and standard deviations o, = 2…

Q: If the PDF of X is f(x)=2x/k2 for 0<x<k, for what value of k is the variance of X equal to 2?

A: The probability density function of Xf(x)=2x/k2 for 0<x<kfor what value of k the…

Q: Suppose X ~ a) Find the expected value of the cost per loss, E [Y,]. b) Find the Variance of the…

A: Given X~Parα=4, θ=300 with d=20

Q: Compute using Lagrange Inerpolation f(-0.016) for the data (-1.5, - 14.1014), (-0.75, - 0.931596),…

Q: • If the joint PDF of X and Y is shown as follows: fxx(x, y) = e-(x+y) Find the following: 12) The…

Q: Suppose we estimate the following model with OLS: Which of the following statements is always…

A: Suppose we estimate the following model with OLS: Which of the following statements is always…

Q: In the least-squares line ý = 5 + 6x, what is the marginal change in ý for each unit change in x?

Q: According to the Table below calculate the function value at x = 2: a) by using Linear Interpolation…

A: The given table of values is

Q: Suppose the conditional mean function is Y = Bo + B1X + B2X² + B3X3 + U where E[U|X]3D0. By mistake,…

Q: Assume δ = 0.05, ̄Ax = 0.06, 2 ̄Ax = 0.0040. A group of 100 lives age x purchase fully continuous…

A: Given δ=0.05 A¯x=0.06 A¯x2=0.0040 Benefit=$1000 Premium=$3.50

Q: Consider the joint PDF f(x,y)=4xy for 0<x<1 and 0<y<1. (a) Are X and Y independent? (b) Find both…

A: We have given thatjoint PDF f(x,y)=4xy for 0<x<1 and 0<y<1.

Q: We are interested in studying cigarette demand by young adults. Lets consider the following model:…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: Which of the following is the correct sum of squared residuals to be minimized to find (2x-1)-b it…

A: Given information: The data set us as given below:

Q: 1. Find the second-order prediction error filter and the prediction error variance for the random…

Q: Find the variance stabilizing transformation g(y) for a response variable y, E(y) = µ and V(y) = √ī.

Q: fp(p) = 12 p²(1-p), 0<p<1. (a) Calculate E(X). (b) Obtain Var (X). (c) Find the marginal pmf of X.

Q: Anya has three identical tea cups. She randomly stores each cup in one of three cupboards, where…

A: From the given information, Anya has 3 identical tea cups. She randomly stores each cup in one of…

Q: Let Y₁, Y2, ..., Yn be a random sample from a population that is uniformly distributed on the…

A: Yi ~ U(θ,5θ) ; i=1,2,...,n

Q: f(y)= - Bey

Q: y 2 4 1 ГО.1 0.157 P(X, Y) = x3 0.2 0.3 %3D 5 Lo.1 0.15] a) Evaluate the marginal distribution of X…

A: Note: Hey, since multiple sub parts are posted, we will answer first three sub parts according to…

Q: Use two different approaches to determine the marginal distribution of Y if X ~ N(O, 1) and YIX -…

Q: The result of an idependent measures study reports as t(22)=2.12p<.05, two tails. For this study,…

A: From the given information, the degrees of freedom is 22 and the level of significance is 0.05. Test…

Q: The joint distribution function of X and Y random variables is given below: - e-0.5az) (0.5 – e-203)…

Q: 8. Find the line of best fit y = a + bc for the data points (1,3), (2,4) and (-1,-1).

A: Given data points are (1,3), (2.4) and (-1, -1). To find: The line of best fit y=a+bx for the given…

Q: Total plasma volume is important in determining the required plasma component in blood replacement…

A: Note:Hi! Thank you for posting the question. Since your question has more than 3 parts, we have…

Question

a) Find the marginal pmfs of X and Y

b) Find the conditional pmf of X given Y = 1

The joint pmf of two discrete random variables, X and Y, is given in the following table:
Y
1
2
3
4
X
1
.10
.05
.02
.02
3
4
.02
.02
.05 .02
.20 .04
.10
2
.05
.20
.05
.02 .04

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: Given Information:

VIEW

Step 2: Find the marginal pmfs of X and Y:

VIEW

Step 3: Find the conditional distribution of X|Y=2:

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 13 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Assume that losses X follow a uniform distribution over (0,10), X U(0, 10), such that E(X) = 5. Then the loss elimination ratio (LER) assuming a limited policy with u=5 is equal to: O a. 70% O b. 84% c. 75% O d. 91% Clear my choice
Consider X and Y are joint distributed with PDFf(x,y)=x+y, 0≤x≤1, 0≤y≤1. (d) Find the marginal distributions of X and Y .(e) Find the conditional distribution of X given Y = y.
f (x) = 4xc for 0 ≤ x ≤ 1 ; Find the constant c so that f (x) is apdf of some random variable X, and then find the cdf, F (x) = P(X ≤ x). Sketch graphsof the pdf f (x) and the cdf F (x), and find the mean μ and variance σ2.
For least-squares to work well, we need: ) the relationship between x and y to be non-linear. residuals to be Uniformly distributed. ) the residuals to have a mean of zero. the residuals to be correlated with the explanatory variable.
The functions i)= e **2f,(x) = e*-3 %3D are O A. Insufficient information to conclude None of them O B. O C. Neither linearly dependent or independent OD. Linearly independent O E. Linearly dependent
2. Let dt Find the average %3D value of f on the interval [o, 1
Q1. Consider the two different losses: (i) zero/one loss where Ai = 0 and dij = 1 and (ii) generic loss where A;i = 0 and A;j = A,. Will the discriminants under both cases be same? Justify your answer by showing all the steps involved.
In a continuous-time surplus model, the claim severity is distributed as BN(2, 0.4). Determine the Lundberg upper bound for the probability of ultimate ruin if the initial surplus is 2 and the prIn a continuous-time surplus model, the claim severity is distributed as BN(2, 0.4). Determine the Lundberg upper bound for the probability of ultimate ruin if the initial surplus is 2 and the premium loading factor is 0.25.emium loading factor is 0.25.
7. a) What are residual plots and box plots? b) Do the stability analysis of the following model which is formulated to study the effect of toxicant on one competing species where the environmental toxicant concentration is being taken to change w.r.t. time. dN = rN, - α,Ν,N, - d,C,N , dt dN2 = rN, - α,N,., dt dCo = k,P - g,C, – m¡C, dt dP Q- hp – kPN, + gC,N . dt along with the initial conditions. N, (0) = N10,N2 (0)= N20,C, (0)= 0, P(0)= P, > 0 %3D Here, N1 (t) = Density of prey population
(b) Determine the marginal distributions of X and then of Y. (c) Find the conditional distribution of Y|X = x.
Q3) The table below show the number of hours(x) 20 students spent studying spansh in the month before an examination and their percentage score(y). A) Determine SEE If you have the model y = 0.5x +49 B)Find the fit line ( Regrsion line) for these points Hours of study (x) Exam mark%(y) 22 70 21 13 33 25 32 40 15 26 27 18 19 10 21 44 46 17 28 19 20 62 90 58 78 80 66 56 62 68 50 74 76 57 69 58 64 dakhee
You are given the Posterior pdf fexp[-(0-x)]. p(0|x) = [0, e >x e