Question: 13. Given P(A) = 0.29, P(B) = 0.59, and P(B|A) = 0.58, what is P(A and B)? 14. Given that P(A) = 0.10, P(B) =
13. Given P(A) = 0.29, P(B) = 0.59, and P(B|A) = 0.58, what is P(A and B)?
14. Given that P(A) = 0.10, P(B) = 0.17, and P(A and B) = 0.0230, are events A and B independent?
15. The table below lists the frequency of clowns, by hair color, in a given fraternal order of clowns.
| Hair Color | Count |
|---|---|
| Red | 37 |
| Blue | 37 |
| Rainbow | 18 |
| Other | 35 |
What is the probability that a randomly selected clown from this fraternal order has hair that is not red?
16. Given the following probability distribution, what is the expected value?
| Outcome | P(Outcome) |
|---|---|
| 38 | 0.16 |
| 17 | 0.09 |
| 3 | 0.18 |
| 20 | 0.25 |
| 15 | 0.19 |
| 2 | 0.13 |
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