An executive is managing 3 projects. Consider the following experiment: For each project, observe whether it is completed on time. Let Ai be the event that the ith project is completed on time, where i = 1, 2, 3. 1) Are the events A1, A2, and A3 are independent? Why or Why not, or is more information needed to make a determination? 2) Are the events A1, A2, and A3 are mutually exclusive? Why or Why not, or is more information needed to make a determination? 3) Suppose that each project will be completed on time with

Question

An executive is managing 3 projects. Consider the following experiment: For each project, observe whether it is completed on time. Let Ai be the event that the ith project is completed on time, where i = 1, 2, 3.

1) Are the events A1, A2, and A3 are independent? Why or Why not, or is more information needed to make a determination?

2) Are the events A1, A2, and A3 are mutually exclusive? Why or Why not, or is more information needed to make a determination?

3) Suppose that each project will be completed on time with
probability 0.6, independently of the others. What is the probability that at least 2 of them will be completed on time?

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