(d) P(D) (e) Verify. P(A N D) P(D) P(A) · P(D | A) P(A) · P(D | A) + P(B) · P(D | B) + P(C) · P(D | C) P(A | D) = )-(C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 9E
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Question
2/3
-D°
2/5
7/8
1/8
-D°
Use this diagram to find the following probabilities.
(a) P(A N D)
1/10
(b)
P(B N D)
2/15
(c) P(CN D)
7/20
(d) P(D)
(e) Verify.
P(A) · P(D | A)
P(A) · P(D | A) + P(B) · P(D | B) + P(C) · P(D C)
P(A N D)
P(A | D) =
P(D)
Transcribed Image Text:2/3 -D° 2/5 7/8 1/8 -D° Use this diagram to find the following probabilities. (a) P(A N D) 1/10 (b) P(B N D) 2/15 (c) P(CN D) 7/20 (d) P(D) (e) Verify. P(A) · P(D | A) P(A) · P(D | A) + P(B) · P(D | B) + P(C) · P(D C) P(A N D) P(A | D) = P(D)
The accompanying tree diagram represents a two-stage experiment.
D
1/2
1/2
1/5
D°
1/3
2/5
B-
2/3
-D°
2/5
D
7/8
1/8
-D°
Use this diagram to find the following probabilities.
(a) P(A N D)
1/10
(b) P(B N D)
2/15
(c) P(CN D)
7/20
Transcribed Image Text:The accompanying tree diagram represents a two-stage experiment. D 1/2 1/2 1/5 D° 1/3 2/5 B- 2/3 -D° 2/5 D 7/8 1/8 -D° Use this diagram to find the following probabilities. (a) P(A N D) 1/10 (b) P(B N D) 2/15 (c) P(CN D) 7/20
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