Sec1.6 Bays' Theorem

ePAPER READ

DOWNLOAD ePAPER

web.math.isu.edu.tw

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

START NOW

Ex1.6-1(1)The experiment consists of selecting a bowl withthese probabilities and then drawing a chip at randomfrom that bowl. Find the probability, P(R), of event R,drawing a red chip.P(R)= P(B I R)+ P(B I R)+ P(B I=P(B11) P(R|B1)+2P(B23) P(R | B2)R)+P(B3) P(R|B3)2

Chapter 2 Solutions of Equations in One Variable

Alternating Series, Absolute Convergence

Numerical Analysis Instructor Textbook Preliminary Courses Note ...

$C:\Documents and Settings\BabyGator\.TeXmacs\system\tmp$

(2)Suppose that the outcome of the experiment is a red chip,but we do not know from which bowl it was drawn. Wecompute the conditional probability that the chip was drawnfrom bowl B1 namely, P( B 1| R).P(B1I R)P( B1| R)=P(R)=P(B1) P(R|B1) +P(B1I R)P(B ) P(R | B22) +P(B3) P(R|B3)=( 1 )( 2 )3 6( 1 )( 2 ) + ( 1 )( 1 ) + ( 1 )( 5 )366329=28≠P(B 1).3

Page 1: Sec1.6 Bays’ TheoremExample 1.6-1
Page 5 and 6: Prior probabilities ()&Posterior pr
Page 7: Remark(1)Let A be an event, thenA =

Sec1.6 Bays' Theorem

Create successful ePaper yourself

Delete template?

Save as template?