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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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