3) a bor contains 3 coino, 2 / 2-headal a) You piih a coin at rendom and foos it. What is the protability it londo heaks up (H)? It is eaay to aolve this by aemipl, wting lown the sample opru. of outcomes. husteud, we can polve this as an coimo and coin. tdal prealility", as fillowo. chorse a negulan coin = event, a e a get heng fiom 1 " law 4 Let A = event tht you you chome ta a- hadel coin. eyert Gut, dyni get hendy, Note tut A and B fom a pautitina f te Asnpli apace, i.e. AUB=X, ANB = 9. that The law q totel prdabily sup p (H)=pC HIM) pCA) pCHl8lp(B). Computa (seaihy) tuh prdablit, on site of Ehi eguation. Show Iworky reasoming. te right-hend 6) Campute p( Bl H). Do this by frist venifying for any "Bayes' rule", whrih shous that everdo A, 6, H, pC Bl H) = p(HIB) p (B) p( H)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Q3 Please provide detailed solution with explanation and justification asap to get a upvote for Each part Please
3) a box containo 3 coino, 2
/ 2-headel
a) You piih a coin at rendom and foom it. Wht is
ta prdability it lomdo heads up (H)?
reguler como and
Coin.
It is ehey
the sample opre. o
can Aolve this as an
to adve this by semiph, witing lown
f outcomes. hstend, we
" Raw f
Let A = event tat
total prdability", as fillows.
chorse a negulan coin
%3D
you
you
chome th 2- hadel coin.
3 eyent Gut, yene get hendg.
Note tut A aned B fom a pautition f the
ssmple apace, i.e. AUB=X, AAB= 6.
The lawe f total prdabildg sup
p (H)=p( HIM) p(A) pCHl8lp(B).
Computa (smaily) euh prdablity on th rijht-hend
side 4 thi egustim. Show Iworks recesoning.
that
first veaifying
6) Campule p( BlH). Do this by
Bayes' rule", which sbows thot for any
evento A, 6, H,
p( Bl H)
p( H)
Transcribed Image Text:3) a box containo 3 coino, 2 / 2-headel a) You piih a coin at rendom and foom it. Wht is ta prdability it lomdo heads up (H)? reguler como and Coin. It is ehey the sample opre. o can Aolve this as an to adve this by semiph, witing lown f outcomes. hstend, we " Raw f Let A = event tat total prdability", as fillows. chorse a negulan coin %3D you you chome th 2- hadel coin. 3 eyent Gut, yene get hendg. Note tut A aned B fom a pautition f the ssmple apace, i.e. AUB=X, AAB= 6. The lawe f total prdabildg sup p (H)=p( HIM) p(A) pCHl8lp(B). Computa (smaily) euh prdablity on th rijht-hend side 4 thi egustim. Show Iworks recesoning. that first veaifying 6) Campule p( BlH). Do this by Bayes' rule", which sbows thot for any evento A, 6, H, p( Bl H) p( H)
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