1.4 Independent vs. mutually exclusive (a) Suppose that an event E is inde- pendent of itself. Show that either P(E) = 0

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1.4 Independent vs. mutually exclusive (a) Suppose that an event E is inde- pendent of itself. Show that either P(E) = 0

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1 4 Independent Vs Mutually Exclusive A Suppose That An Event E Is Inde Pendent Of Itself Show That Either P E 0 1
1 4 Independent Vs Mutually Exclusive A Suppose That An Event E Is Inde Pendent Of Itself Show That Either P E 0 1 (34.1 KiB) Viewed 114 times
1.4 Independent vs. mutually exclusive (a) Suppose that an event E is inde- pendent of itself. Show that either P(E) = 0 or P(E) = 1. (b) Events A and B have probabilities P(A) = 0.3 and P(B) = 0.4. What is P(AUB) if A and B are independent? What is P(AUB) if A and B are mutually exclusive? (c) Now suppose that P(A) = 0.6 and P(B) = 0.8. In this case, could the events A and B be independent? Could they be mutually exclusive?
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