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.
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
Yes, they are mutually exclusive events. |
||
No, they are not mutually exclusive events. |
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