1. Suppose the Human Resource department at Time Warner is concerned about emplo

Question

1. Suppose the Human Resource department at Time Warner is concerned about employee attire on dress-down Fridays. An experiment consists of selecting a random employee on a Friday and recording: whether the employee is wearing sneakers or some other kind of shoe, whether the employee is wearing jeans or some other kind of pants, and whether the employee is wearing a T-shirt, sport shirt, or button-down collar shirt. Construct a tree diagram representing this experiment; attach this to the back of your homework. (3 points)

Explanation / Answer

For an event with two outcomes, the probability is 0.5 each and for an event with three outcomes the probability is 0.33 each.

For a person wearing a sneakers or some other shoes, the probability is 0.5

For a person wearing jeans or some other kind of pants the probability is 0.5

For a person wearing t-shirt, sport shirt or button- down shirt the probability is 0.33

The decision tree can be constructed as follows.

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