The events E, F and G have the following properties:   P(E)=0.32 P(F)=0.39 P(G)=0.28P(E)=0.32 P(F)=0.39 P(G)=0.28   P(EUF)=P(EUF)=0.60   P(EUG)=0.45 P(FUG)=0.44P(EUG)=0.45 P(FUG)=0.44   P(E∩F∩G)=P(E∩F∩G)=0.04   Compute the probability that at least one of E,FE,F or GG occur; that is, compute P(EUFUG)P(EUFUG). Use two decimal place accuracy.

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

The events E, F and G have the following properties:

 

P(E)=0.32 P(F)=0.39 P(G)=0.28P(E)=0.32 P(F)=0.39 P(G)=0.28

 

P(EUF)=P(EUF)=0.60   P(EUG)=0.45 P(FUG)=0.44P(EUG)=0.45 P(FUG)=0.44

 

P(E∩F∩G)=P(E∩F∩G)=0.04

 

Compute the probability that at least one of E,FE,F or GG occur; that is, compute P(EUFUG)P(EUFUG). Use two decimal place accuracy. 

Expert Solution
Step 1

given data 

P(E)=0.32 

P(F)=0.39 

P(G)=0.28

P(EUF)=0.60 

P(FUG)=0.44

P(EUG)=0.45 

P(E∩F∩G)=0.04

 

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
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