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| Teaching Since: | May 2017 |
| Last Sign in: | 408 Weeks Ago, 1 Day Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
7. If A and B are independent events in a sample space, show that
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P(A ∪ B) = P(B) + P(A) ⋅ P(B) = P(A) + P(A) ⋅ P(B).
8. In a sample space, events A and B are independent: events B and C are mutually exclusive, and A and C are independent. If P(A ∪ B ∪ C) = 0.9 while P(B) = 0.5 and P(C) = 0.3, find P(A).
9. If P(A ∪ B) = 0.4 and P(A) = 0.3, find P(B) if
(a) A and B are independent.
(b) A and B are mutually exclusive.
10. A coin, loaded so that the probability it shows heads when tossed is 3∕4, is tossed twice. Let the events A, B, and C, be “first toss is heads,” “second toss is heads,” and “ tosses show the same face,” respectively.
(a) Are the events A and B independent?
(b) Are the events A and B ∪ C independent?
(c) Are the events A, B, and C independent?
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