Posted by **Michael** on Friday, April 17, 2009 at 3:19pm.

I need to calculate P(man is a ballet dancer and a musical performer) given the following information...

In a random sample of male and female graduates of the New York School for the Arts between the ages of 22-35 you know that:

the probability a man is a ballet dancer is 0.245.

the probability a man is a musical performer, given that he’s a ballet dancer is 0.250.

(Also, I don't believe this information is relevant: the probability a woman is a musical performer is 0.365; the probability a woman is an actress is 0.550; the probability a woman is an actress, given that she’s a musical performer is .785.)

Here's the work I've done so far:

This cannot actually be computed. However, we can compute the conditional probability given than the man is between the ages of 22-35…

P(man musical performer | ballet dancer) does not equal P(musical performer), so the events are dependent. P(man musical performer | ballet dancer) = P(man musical performer and ballet dancer) / P(man musical performer).

Therefore, P(man musical performer and ballet dancer) = P(man mp | bd) * P(mp)

However, the probability a man is a musical performer is unknown, so I am unsure how to compute that.

- Statistics -- Probability -
**PsyDAG**, Saturday, April 18, 2009 at 12:21pm
I am confused too. If "the probability a woman is an actress is 0.550", how can the probability a woman is an actress, given that she’s a musical performer be .785. Do you mean .785 of the .550?

The same applies for the man as a ballet dancer.

I hope this helps. Thanks for asking.

## Answer this Question

## Related Questions

- Statistics - The Economic Policy Institute periodically issues reports on wages ...
- math - According to the statistics of a famous high school in Canada, all their ...
- Statistics - a. What is the probability that a sample of 50 male graduates will ...
- statistics - In this summer school class there are 28 male students and 15 ...
- Binomial Probability - Before 1918, wolves were shown as 55% male, 45% female. ...
- Statistics Help - Six candidates for a new position of vice-president for ...
- statistics - Assuming that the population variances are equal for Male and ...
- Biometrics - If these samples were drawn from a population with mean male weight...
- statistics - 1) One hundred clients of a registered tax agent fall into the ...
- Statistics - In a population, heights of males are normally distributed with u=...