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.

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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.

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