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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 TotalFemale 19 33 26 78Male 14 23 15 52Total 33 56 41 130Find P(musician is a female). (Enter your probability as a fraction.)P(musician is a female) =

Question

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 TotalFemale 19 33 26 78Male 14 23 15 52Total 33 56 41 130Find P(musician is a female). (Enter your probability as a fraction.)P(musician is a female) =

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Solution

The probability that a musician is a female can be calculated by dividing the total number of female musicians by the total number of musicians.

From the table, we can see that the total number of female musicians is 78 and the total number of musicians is 130.

So, P(musician is a female) = 78/130 = 39/65.

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