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Unformatted text preview: engineer frequently assumes: P(A " B) ~ P(A) + P(B). Give a comment. (c) If the events in successive minutes are mutually independent, what is the probability that there will be no moderate earthquakes in a year near this location? In 10 years? 2. When tossing a fair dice, the probability of each outcome 1,2,3,4,5,6 is the same, and therefore, is 1/6. Let A, B, and C be the events A: outcome is 1 or 4 B: outcome is 1,2, or 3 C: outcome is an even number Calculate (a) P[A], P[B], P[C] (b) P[A|B], P[A|C], P[C|B] (c) P[A|(B " C)] Are the following statements true or false? (d) A is independent of B. (e) A is independent of C. (f) B is independent of C. (g) A is independent of (B " C). (h) (A, B, C) are mutually independent. 3. Read Application Example 1 – Section 1, and do Problem 1.1. 4. Read Application Example 2, and do Problem 2.2....
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- Spring '05
- Probability, Probability theory