Using the same tree as before with P(A) = 0.6, P(B|A) = 0.7, P(B|A^c) = 0.2.
What is P(B)?
- A
0.08
- Bcheck_circle
0.50
- C
0.90
- D
0.42
Explanation
P(B) = P(A)*P(B|A) + P(A^c)*P(B|A^c) = 0.6(0.7) + 0.4(0.2) = 0.42 + 0.08 = 0.50.
AP Statistics· difficulty 4/5
Using the same tree as before with P(A) = 0.6, P(B|A) = 0.7, P(B|A^c) = 0.2.
What is P(B)?
0.08
0.50
0.90
0.42
Explanation
P(B) = P(A)*P(B|A) + P(A^c)*P(B|A^c) = 0.6(0.7) + 0.4(0.2) = 0.42 + 0.08 = 0.50.
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