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In a Music School the Students belong in three distinct classes according to their year of study. 40% of the Students are in the first year, 20% are in the second year and the 40% in the third year. The percentage of the students who play the guitar is the: 50% of the first year Students, 60% of the second and 70% of the third year Students. We pick randomly a Student and we define the events:   Y1:={the Student is on the 1st

In a Music School the Students belong in three distinct classes according to their year of study. 40% of the Students are in the first year, 20% are in the second year and the 40% in the third year. The percentage of the students who play the guitar is the: 50% of the first year Students, 60% of the second and 70% of the third year Students. We pick randomly a Student and we define the events:   Y1:={the Student is on the 1st

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
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In a Music School the Students belong in three distinct classes according to their year of study. 40% of the Students are in the first year, 20% are in the second year and the 40% in the third year.

The percentage of the students who play the guitar is the:

50% of the first year Students,

60% of the second and

70% of the third year Students.

We pick randomly a Student and we define the events:

 

Y1:={the Student is on the 1st year },Y2:={the Student is on the 2nd year }
Y3:={the Student is on the 3rd year } and G:={the Student plays the guitar }

 

(a) Find the probability of the event G.   

(b) Which of the following events is independent of G?. 

 
 Y1
 Y2
 Y3
 

 

(c) Find the probability that a Student who is known that (s)he plays the guitar, is in the third year. Give  answer correct in two decimal places.   

 

 

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