Which of the following are valid probability spaces on events {a1,a2,a3}. Justify your answer: (a) P(a1)= 1/4, P(a2)= 1/3, P(a3)= 1/2 (b) P(a1)= 0, P(a2)= 1/3, P(a3)= 2/3 (c) P(a1)= 0, P(a2)= -1/3, P(a3)= 4/3

Which of the following are valid probability spaces on events {a1,a2,a3}. Justify your answer: (a) P(a1)= 1/4, P(a2)= 1/3, P(a3)= 1/2 (b) P(a1)= 0, P(a2)= 1/3, P(a3)= 2/3 (c) P(a1)= 0, P(a2)= -1/3, P(a3)= 4/3

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Which of the following are valid probability spaces on events {a₁,a₂,a₃}. Justify your answer:

(a) P(a₁)= 1/4, P(a₂)= 1/3, P(a₃)= 1/2

(b) P(a₁)= 0, P(a₂)= 1/3, P(a₃)= 2/3

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