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(a) P(A N D) 1/14 (b) P(B N D) 3/35 (c) P(CN D) 3/8 (d) P(D) (e) Verify. P(A | D) = 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) 1)•(C

(a) P(A N D) 1/14 (b) P(B N D) 3/35 (c) P(CN D) 3/8 (d) P(D) (e) Verify. P(A | D) = 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) 1)•(C

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Use this diagram to find the following probabilities. (a) P(A N D) 1/14 (b) P(B N D) 3/35 (c) P(C N D) 3/8 (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) = XC ||
Transcribed Image Text:Use this diagram to find the following probabilities. (a) P(A N D) 1/14 (b) P(B N D) 3/35 (c) P(C N D) 3/8 (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) = XC ||
The accompanying tree diagram represents a two-stage experiment. D 1/2 A 1/2 1/7 -D° D 1/5 3/7 -B 4/5 -D° 3/7 D 7/8 1/8 -D° Use this diagram to find the following probabilities. (a) P(A N D) 1/14 (b) P(B N D) 3/35 (c) P(C N D) 3/8
Transcribed Image Text:The accompanying tree diagram represents a two-stage experiment. D 1/2 A 1/2 1/7 -D° D 1/5 3/7 -B 4/5 -D° 3/7 D 7/8 1/8 -D° Use this diagram to find the following probabilities. (a) P(A N D) 1/14 (b) P(B N D) 3/35 (c) P(C N D) 3/8
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