Homework Help is Here – Start Your Trial Now!
Math
Statistics
2. Say we are given a table representing the bivariate probability mass function f(X,Y) Find P(Y=2|X = 1) X = 1 X = 2 X = 3 Y = 1 Y = 2 Y = 3 0 1/8 3/8 0 0 1/4 1/4 0 0

2. Say we are given a table representing the bivariate probability mass function f(X,Y) Find P(Y=2|X = 1) X = 1 X = 2 X = 3 Y = 1 Y = 2 Y = 3 0 1/8 3/8 0 0 1/4 1/4 0 0

MATLAB: An Introduction with Applications
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
icon
Related questions
Question

#2

1. Suppose we are interested in investigating the lifespan of a Texas Instrument calculator and we model the lifespan using an exponential distribution with unknown parameter (A). If we test 5 calculators, and their lifetimes are 2, 3, 1, 3, and 4 years, respectively, (a) What is the maximum likelihood estimator for X? (b) What does it mean in words? 2. Say we are given a table representing the bivariate probability mass function f(X,Y) X = 1 X = 2 X = 3 Y = 1 Y = 2 0 1/8 0 0 1/4 0 Y = 3 3/8 1/4 0 Find P(Y=2|X = 1) 3. We are given the following bivariate density function : f(x,y) = y ( ²2 − x). - where X and Y represent the lifespan of two electrical components in a transistor. (a) Check that f(x, y) is actually a bivariate density (b) Find the marginal pdfs, f(x) and f(y) +x; where 0<x< 1 and 0 < y < 2
Transcribed Image Text:1. Suppose we are interested in investigating the lifespan of a Texas Instrument calculator and we model the lifespan using an exponential distribution with unknown parameter (A). If we test 5 calculators, and their lifetimes are 2, 3, 1, 3, and 4 years, respectively, (a) What is the maximum likelihood estimator for X? (b) What does it mean in words? 2. Say we are given a table representing the bivariate probability mass function f(X,Y) X = 1 X = 2 X = 3 Y = 1 Y = 2 0 1/8 0 0 1/4 0 Y = 3 3/8 1/4 0 Find P(Y=2|X = 1) 3. We are given the following bivariate density function : f(x,y) = y ( ²2 − x). - where X and Y represent the lifespan of two electrical components in a transistor. (a) Check that f(x, y) is actually a bivariate density (b) Find the marginal pdfs, f(x) and f(y) +x; where 0<x< 1 and 0 < y < 2
Expert Solution
Step 1: Given information

Given bivariate probability mass function as follows.


Y=1Y=2Y=3
X=101/83/8
X=200 1/4
X=3 1/400
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS