Homework Help is Here – Start Your Trial Now!
Math
Statistics
Let A, A2,., A, be n mutually exclusive and exhaustive events de- fined on a sample space S and let H be an arbitrary event defined on S such that P(H)+0, then P(A, |H)= P(HIA,)P(A,) P(HIA)P(A)+P(H/A,)P(A,)+...P(H|A„)P(A,) ·

Let A, A2,., A, be n mutually exclusive and exhaustive events de- fined on a sample space S and let H be an arbitrary event defined on S such that P(H)+0, then P(A, |H)= P(HIA,)P(A,) P(HIA)P(A)+P(H/A,)P(A,)+...P(H|A„)P(A,) ·

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 35E
See similar textbooks
icon
Related questions
Question

Prove the theorem

Let 41, A2,., An be n mutually exclusive and exhaustive events de- fined on a sample space S and let H be an arbitrary event defined on S such that P(H)÷0, then P(A, |H)= P(H/A,)P(A,) P(H/A,)P(A,)+P(H/A,)P(A,)+...P(H/A„)P(A,) %3D
Transcribed Image Text:Let 41, A2,., An be n mutually exclusive and exhaustive events de- fined on a sample space S and let H be an arbitrary event defined on S such that P(H)÷0, then P(A, |H)= P(H/A,)P(A,) P(H/A,)P(A,)+P(H/A,)P(A,)+...P(H/A„)P(A,) %3D
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS