The table below shows a random sample of musicians and how they learned to play their instruments.  Gender Self-taught Studied in School Private Instruction Total Female 1313 3131 1515 5959 Male 1717 2323 1515 5555 Total 3030 5454 3030 114114   (a) Find P(musician is a female)Pmusician is a female. Enter the exact answer. P(musician is a female)=Pmusician is a female=        (b) Find P(musician is a male AND had private instruction)Pmusician is a male AND had private instruction. Enter the exact answer. P(musician is a male AND had private instruction)=Pmusician is a male AND had private instruction=        (c) Find P(musician is a female OR is self taught)Pmusician is a female OR is self taught. Enter the exact answer. P(musician is a female OR is self taught)=Pmusician is a female OR is self taught=        (d)Are the events "being a female musician" and "studying music in school" mutually exclusive events?       Yes, they are mutually exclusive events.     No, they are not mutually exclusive events.

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 table below shows a random sample of musicians and how they learned to play their instruments. 

Gender Self-taught Studied in School Private Instruction Total
Female 1313 3131 1515 5959
Male 1717 2323 1515 5555
Total 3030 5454 3030 114114

 

(a) Find P(musician is a female)Pmusician is a female.


Enter the exact answer.

P(musician is a female)=Pmusician is a female=   
 

 

(b) Find P(musician is a male AND had private instruction)Pmusician is a male AND had private instruction.

Enter the exact answer.

P(musician is a male AND had private instruction)=Pmusician is a male AND had private instruction=   
 

 

(c) Find P(musician is a female OR is self taught)Pmusician is a female OR is self taught.

Enter the exact answer.

P(musician is a female OR is self taught)=Pmusician is a female OR is self taught=   
 

 

(d)Are the events "being a female musician" and "studying music in school" mutually exclusive events?
 

   

Yes, they are mutually exclusive events.

   

No, they are not mutually exclusive events.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE 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