Question

Given the following probabilities for some random process,

P(A) = .42               P(B) = .22               P(A and B) = .05

Determine the following. (Show your work and highlight your final answers either with a highlighter or by placing a box around it. Use 4 decimal places if necessary.)

1. P(A or B)

2. P(A│B)

3. P(B│A)

4. P(A^C and B)

5. P(B^C│A^C)

Answer 1

0.78 Giver PCA) = 0.42. P(B) = 0.22. P(AC) = = -0.42 PC 84) = 1-0-22 = 0.58 Plan B) = 0.05 a) P(A 0 ) PCA) + P(B) - P(A and B) P(A or B) 0.42 + 0.22 -0.05 P(A or B) 10.50 0.05 b) P(AIB) P(ADB) 0.2273 .P (B) 0.22 c) P(B/A) P(ANB) 0.05 0.1191 P(A) 0.42 2) P(ACAB) P(B) - P(ANB) 0.22 0.05 - 0.17 A (ACNB) We Kolo By Ae Morgan's suele P(ANB) PCA CUBC) = 1- P(ANB) & P (ACU BC) .P (AC) +P (BC) -P(AC ABC) 0-58 + 0.18 – P(AC BC). "P(ACNBC) So P(BYAC) = P(ACn Bo P(AC) 0.05 O. u 1 0.41 0.58 - 10. 7069

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