Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given below: f(x,y) 1 2 3 x 2 3 0.10 0.05 0.02 0.10 0.35 0.05 0.03 0.10 0.20 q. Find the conditional distribution of f(x), P(Y=2|X= 1). r. Find the conditional distribution of f(x), P(Y=2|X=2). s. Find the conditional distribution of f(lx), P(Y = 2 | X = 3).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

please do this typewritten asap. 

1. Let X denote the number of times a certain numerical control machine will malfunction:
1, 2, or 3 times on any given day. Let Y denote the number of times a technician is
called on an emergency call. Their joint probability distribution is given below:
f(x,y)
1
2
3
2/2
3
0.10 0.05
0.02
0.10 0.35 0.05
0.03 0.10 0.20
q. Find the conditional distribution of f(x), P(Y=2|X= 1).
r. Find the conditional distribution of f(ylx), P(Y=2|X=2).
Find the conditional distribution of f(lx), P(Y=2|X= 3).
s.
Transcribed Image Text:1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given below: f(x,y) 1 2 3 2/2 3 0.10 0.05 0.02 0.10 0.35 0.05 0.03 0.10 0.20 q. Find the conditional distribution of f(x), P(Y=2|X= 1). r. Find the conditional distribution of f(ylx), P(Y=2|X=2). Find the conditional distribution of f(lx), P(Y=2|X= 3). s.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

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