Consider the events C 1 , C 2 , C 3 . (a) Suppose C 1 ,

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Consider the events C1, C2, C3.
(a) Suppose C1, C2, C3 are mutually exclusive events. If P(Ci) = pi, i = 1, 2, 3, what is the restriction on the sum p1 + p2 + p3?
(b) In the notation of part (a), if p1 = 4/10, p2 = 3/10, and p3 = 5/10, are C1, C2, C3 mutually exclusive?
For the last two exercises it is assumed that the reader is familiar with σ-fields.

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Introduction To Mathematical Statistics

ISBN: 9780321794710

7th Edition

Authors: Robert V., Joseph W. McKean, Allen T. Craig

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