8. (a) Given two evenis A and B such that P(4) =. P(an8)= and P(A1B)= Find P(B) and P(AUB) (ii) Determine whether or not A and B are either independent or mutually exclusive. (i)
8. (a) Given two evenis A and B such that P(4) =. P(an8)= and P(A1B)= Find P(B) and P(AUB) (ii) Determine whether or not A and B are either independent or mutually exclusive. (i)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Answer Q8
Transcribed Image Text:8.
(a)
Given two events A andB such that
P(4)-글. P(anB)= and P(4/B)-를
Find P(B) and P(AUB)
(ii) Determine whether or not A and B are either independent or mutually exclusive.
(i)
(b)
A man can travel either by land, by air or by sea. The probabilities that he travels by land, by air or by sea are
2
and respectively. The probability that he reaches safely when traveling by land, by air or by sea are
12
3
and respectively. The man embarks on a journey. Using a tree diagram. or otherwise, find the probability
4
2
that:
(i)
He arrives safely.
(ii)
He travels by air or arrives safely.
(iii) He travels by land given that he arrives safely.
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