Question

The table below shows a random sample of musicians and how they learned to play their instruments.





Part A

Find P(musician is a female). Write your answer as a fraction into the box below.

(b)
Part B

Find P(musician is a female OR is self taught). Write your answer as a fraction into the box below.

(c)
Part C

Find P(male | studied in school). Write your answer as a fraction into the box below.

Answer 1

I don’t see the contingency table or the counts — could you paste the table (or the counts in each cell) here? Once I have it I’ll compute the three requested probabilities and reduce them to fractions.

Meanwhile, here are the formulas you’ll need (let N = total number of musicians):

- Part A: P(female) = (number of females) / N.

- Part B: P(female OR self-taught) = [number of females + number of self-taught − number who are both female and self-taught] / N.

- Part C: P(male | studied in school) = (number of males who studied in school) / (total number who studied in school).

If you paste the table I’ll plug in the numbers and give the simplified fractions.