1. In a random sample of male and female New York street performers between the ages of 22-35 you know that:

• the probability a man is a mime is 0.30.
• the probability a woman is a spray paint artist is 0.165
• the probability a man is a break dancer, given that he's a mime is 0.250.
• the probability a woman is a faux statue is 0.550.
• the probability a woman is a faux statue, given that she's a spray paint artist is .065.

Compute the following probabilities: (6 points: 2 points for each problem)

a. P(woman is a spray paint artist and a faux statue)

b. P (woman is a spray paint artist or a faux statue)

c. P (man is a mime and a break dancer)