In a random sample of male and female graduates of the New York School for the A

ID: 3392037 • Letter: I

Question

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 woman is a musical performer is 0.365

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

• 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.

Compute the following probabilities:

A. P (man is a ballet dancer and a musical performer)

B. P (woman is an actress and a musical performer)

C. P (woman is an actress or a musical performer)

=0.245*(1-0.365)=0.155

b. P (woman is an actress and a musical performer)

=0.365*0.55=0.2

c. P (woman is an actress or a musical performer)

=P(woman is an actress)+P(musical performer)-P(actress or performer)

=0.55+0.365-0.785*0.365=0.628

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.