Two hundred single-sport athletes were cross-classified according to gender as follows:

Gender	Swimmer	Runner	Cyclist
Male	25	60	25
Female	20	50	20

An athlete is selected at random.

1. What is the probability that the athlete is a runner?
2. What is the probability that the athlete is a female runner?
3. If the athlete is known to be a runner, what is the probability that the athlete is female?
4. What is the probability that the athlete is male? or a swimmer? or both?
5. Are the events being a female and being a swimmer mutually exclusive? Justify your answer.
6. Are the single-sport type and gender of athletes independent? Justify your answer.

Please round all numbers toTWOdecimal places and show work.