Use the following how they learned to play their instruments. Gender Self-taught Studied in School Private Instruction Total Female 12 38 22 72 Male 19 24 15 58 31 62 37 130 Total

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Problem 5.
Use the following information to answer the next four exercises. Table 3.15 shows a random sample of musicians and
how they learned to play their instruments.
Gender Self-taught Studied in School
Private Instruction
Total
Female
12
38
22
72
Male
19
24
15
58
Total
31
62
37
130
If one musician is selected at random from this group,
a/ Find the probability that this musician is a female.
b/ Find P(musician is a male AND had private instruction)
c/ Find the probability that this musician is a female OR is self-taught, P(musician is a female OR is self taught)
d/ Are the events "being a female musician" and "learning music in school" mutually exclusive events?
Transcribed Image Text:Problem 5. Use the following information to answer the next four exercises. Table 3.15 shows a random sample of musicians and how they learned to play their instruments. Gender Self-taught Studied in School Private Instruction Total Female 12 38 22 72 Male 19 24 15 58 Total 31 62 37 130 If one musician is selected at random from this group, a/ Find the probability that this musician is a female. b/ Find P(musician is a male AND had private instruction) c/ Find the probability that this musician is a female OR is self-taught, P(musician is a female OR is self taught) d/ Are the events "being a female musician" and "learning music in school" mutually exclusive events?
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