Construct a copy of figure 3.11 in your text, where the first outcome is one of (A,B,C) and the second outcome in each case is one of (1,2,3) (only 1 or 2 in the case of outcome C). Use the following probabilities instead of those given in your text: Pr[A1]=1/6 Pr[2|A]=1/3 Pr[A2]=1/6 Pr[A3]=1/6 Pr[B1]=1/8 Pr[2|B]=1/6 Pr[B3]=1/23 Pr[C1]=1/8 Pr[C2]=1/8 Find the following missing probabilities: 1. Pr [A]

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 14E
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Construct a copy of figure 3.11 in your text, where the first outcome is one of (A,B,C) and the second outcome in each case is one of (1,2,3) (only 1 or 2 in the case of outcome C). Use the following probabilities instead of those given in your text:

Pr[A1]=1/6
Pr[2|A]=1/3
Pr[A2]=1/6
Pr[A3]=1/6
Pr[B1]=1/8
Pr[2|B]=1/6
Pr[B3]=1/23
Pr[C1]=1/8
Pr[C2]=1/8

Find the following missing probabilities:

1. Pr [A]

2. Pr [1|A]

3. Pr [2|A]

4. Pr[B]

5. Pr[1|B]

6. Pr[3|B]

7. Pr[B2]

8. Pr[C]

9. Pr[1|C]

10. Pr[2|C]

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