If E1,E2,E3,...,EnE1,E2,E3,...,En are non empty disjoint sets and subsets of sample space SS, and a set En+1En+1 is also a subset of SS, then which of the following statements are true? A. The sets E1∩En+1,E2∩En+1,E3∩En+1,...,En∩En+1E1∩En+1,E2∩En+1,E3∩En+1,...,En∩En+1 are disjoint. B. P(⋃ni=1Ei)=∑ni=1P(Ei)P(⋃i=1nEi)=∑i=1nP(Ei) C. If En+1,EnEn+1,En are disjoint then E1,E2,...,En−1E1,E2,...,En−1 are disjoint with En+1En+1. D. The sets E1,E2,E3,E4,...,En,ΦE1,E2,E3,E4,...,En,Φ are disjoint. E. The sets E1,E2,E3,E4,...,En,SE1,E2,E3,E4,...,En,S are disjoint.
If E1,E2,E3,...,EnE1,E2,E3,...,En are non empty disjoint sets and subsets of sample space SS, and a set En+1En+1 is also a subset of SS, then which of the following statements are true? A. The sets E1∩En+1,E2∩En+1,E3∩En+1,...,En∩En+1E1∩En+1,E2∩En+1,E3∩En+1,...,En∩En+1 are disjoint. B. P(⋃ni=1Ei)=∑ni=1P(Ei)P(⋃i=1nEi)=∑i=1nP(Ei) C. If En+1,EnEn+1,En are disjoint then E1,E2,...,En−1E1,E2,...,En−1 are disjoint with En+1En+1. D. The sets E1,E2,E3,E4,...,En,ΦE1,E2,E3,E4,...,En,Φ are disjoint. E. The sets E1,E2,E3,E4,...,En,SE1,E2,E3,E4,...,En,S are disjoint.
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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1. If E1,E2,E3,...,EnE1,E2,E3,...,En are non empty disjoint sets and subsets of sample space SS, and a set En+1En+1 is also a subset of SS, then which of the following statements are true?
A. The sets E1∩En+1,E2∩En+1,E3∩En+1,...,En∩En+1E1∩En+1,E2∩En+1,E3∩En+1,...,En∩En+1 are disjoint.
B. P(⋃ni=1Ei)=∑ni=1P(Ei)P(⋃i=1nEi)=∑i=1nP(Ei)
C. If En+1,EnEn+1,En are disjoint then E1,E2,...,En−1E1,E2,...,En−1 are disjoint with En+1En+1.
D. The sets E1,E2,E3,E4,...,En,ΦE1,E2,E3,E4,...,En,Φ are disjoint.
E. The sets E1,E2,E3,E4,...,En,SE1,E2,E3,E4,...,En,S are disjoint.
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