Homework Help is Here – Start Your Trial Now!
Math
Probability
sity of Statland take two tests, one for writing ability and the other on critical thinking, and normalised scores are recorded on each between 0 and 1. For a given applicant, let X be the score on the writing test and Y the score on the critical thinking test. A model for the joint probability density function for the two test scores can be taken as: x + y for 0 < x < 1, 0 < y < 1 f (x, y) = { elsewhere. Part a) Find the marginal density of the writing test score, and evaluate it at the point X = 1/2. Part b) Find the marginal density of the critical thinking test score, and evaluate it at the pointY = 1/3. Part c) The scores on the two tests are independent. A. True B. False

sity of Statland take two tests, one for writing ability and the other on critical thinking, and normalised scores are recorded on each between 0 and 1. For a given applicant, let X be the score on the writing test and Y the score on the critical thinking test. A model for the joint probability density function for the two test scores can be taken as: x + y for 0 < x < 1, 0 < y < 1 f (x, y) = { elsewhere. Part a) Find the marginal density of the writing test score, and evaluate it at the point X = 1/2. Part b) Find the marginal density of the critical thinking test score, and evaluate it at the pointY = 1/3. Part c) The scores on the two tests are independent. A. True B. False

A First Course in Probability (10th Edition)
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
icon
Related questions
Question
Please answer all parts to the fourth decimal place. Thank you!
Applicants for the University of Statland take two tests, one for writing ability and the other on critical thinking, and normalised scores are recorded on each between 0 and 1. For a given applicant, let X be the score on the writing test and Y the score on the critical thinking test. A model for the joint probability density function for the two test scores can be taken as: for 0 < x < 1, 0 < y < 1 x + y f (x, y) = { elsewhere. Part a) Find the marginal density of the writing test score, and evaluate it at the point X = 1/2. Part b) Find the marginal density of the critical thinking test score, and evaluate it at the pointY = 1/3. Part c) The scores on the two tests are independent. A. True B. False
Transcribed Image Text:Applicants for the University of Statland take two tests, one for writing ability and the other on critical thinking, and normalised scores are recorded on each between 0 and 1. For a given applicant, let X be the score on the writing test and Y the score on the critical thinking test. A model for the joint probability density function for the two test scores can be taken as: for 0 < x < 1, 0 < y < 1 x + y f (x, y) = { elsewhere. Part a) Find the marginal density of the writing test score, and evaluate it at the point X = 1/2. Part b) Find the marginal density of the critical thinking test score, and evaluate it at the pointY = 1/3. Part c) The scores on the two tests are independent. A. True B. False
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer