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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

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

1212

3838

2020

7070

Male

1616

2424

1111

5151

Total

2828

6262

3131

121121

(a) FindP(musician is a female)Pmusician is a female.

Enter the exact answer. P(musician is a female)=Pmusician is a female=

(b) FindP(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) FindP(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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