Two hundred single sport athletes were cross-classified according to gender as follows:
|
Swimmer
|
Fencer
|
Boxer
|
|
Male
|
25
|
60
|
25
|
|
Female
|
20
|
50
|
20
|
An athlete is selected at random.
- What is the probability that the athlete is a fencer?
- What is the probability that the athlete is a female fencer?
- If the athlete is known to be a fencer, what is the probability that the athlete is female?
- What is the probability that the athlete is male or a swimmer or both?
- Are the events being a female and being a swimmer mutually exclusive? Justify your answer.
- Are the events being a female and being a fencer independent? Justify your answer.