Probability and Statistics (EEC338) Tutorial 01 omputer consulting firm presently has bids out on three projects. Let warded project k}, for k = 1,2,3 and suppose that P(A₁) = 0.22, 0.25, P(A3) = 0.28, P(A₁nA₂) = 0.11, P(A₁nA3) = 0.05, P(A₂nA3) P(A₁nA₂nA3) = 0.01. = in ordinary English, each of the following events and compute the ity of each event: A₂ (ii) A₁' n A₂' (iii) A₁ U A₂ (iv) A₁' n A₂'n A3' (vii) A₁/A₂ (viii) A₁/(A₂ U A3) 1 A₂'n A3 (vi) (A₁'n A₂') U A3 (A₁ U A₂ U A3) (x) (A₁ U A₂)/A3

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Probability and Statistics (EEC338) Tutorial 01
1. (a) A computer consulting firm presently has bids out on three projects. Let
Ak = {Awarded project k}, for k = 1,2,3 and suppose that P(A₁) = 0.22,
(A₂) = 0.25, P(A3) = 0.28, P(A₁nA₂) = 0.11, P(A₁nA3) = 0.05, P(A₂nA3) =
0.07, P(A₁nA₂nA3) = 0.01.
Express in ordinary English, each of the following events and compute the
probability of each event:
(i) A₁ U A₂ (ii) A₁' n A₂' (iii) A₁ U A₂' (iv) A₁ A₂'n A3'
(v) А₁′Ñ A₂' Ñ A3 (vi) (A₁′ № A₂') U A3 (vii) A₁/A₂
(ix) A₁/(A₁ U A₂ U A3) (x) (A₁ U A₂)/A3
(viii) A₁/(A₂ U A3)
Transcribed Image Text:Probability and Statistics (EEC338) Tutorial 01 1. (a) A computer consulting firm presently has bids out on three projects. Let Ak = {Awarded project k}, for k = 1,2,3 and suppose that P(A₁) = 0.22, (A₂) = 0.25, P(A3) = 0.28, P(A₁nA₂) = 0.11, P(A₁nA3) = 0.05, P(A₂nA3) = 0.07, P(A₁nA₂nA3) = 0.01. Express in ordinary English, each of the following events and compute the probability of each event: (i) A₁ U A₂ (ii) A₁' n A₂' (iii) A₁ U A₂' (iv) A₁ A₂'n A3' (v) А₁′Ñ A₂' Ñ A3 (vi) (A₁′ № A₂') U A3 (vii) A₁/A₂ (ix) A₁/(A₁ U A₂ U A3) (x) (A₁ U A₂)/A3 (viii) A₁/(A₂ U A3)
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