.62 Find and explain some probabilities. (a) Can we have an event A that has negative probability? Explain your answer. (b) Suppose P(A) 5 0.2 and P(B) 5 0.4. Explain what it means for A and B to be disjoint. Assuming that they are disjoint, find the probability that A or B occurs. (c) Explain in your own words the meaning of the rule P(S) 5 1. (d) Consider an event A. What is the name for the event that A does not occur? If P(A) 5 0.3, what is the probability that A does not occur? (e) Suppose that A and B are independent and that P(A) 5 0.2 and P(B) 5 0.5. Explain the meaning of the event {A and B}, and find its probability.

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4.62 Find and explain some probabilities. (a) Can we have an event A that has negative probability? Explain your answer. (b) Suppose P(A) 5 0.2 and P(B) 5 0.4. Explain what it means for A and B to be disjoint. Assuming that they are disjoint, find the probability that A or B occurs. (c) Explain in your own words the meaning of the rule P(S) 5 1. (d) Consider an event A. What is the name for the event that A does not occur? If P(A) 5 0.3, what is the probability that A does not occur? (e) Suppose that A and B are independent and that P(A) 5
0.2 and P(B) 5 0.5. Explain the meaning of the event {A and B}, and find its probability.

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