Q1 Light bulla in a box are 107o yıllow, 30%0 green, and 60%o red. The percantap 1 defestie bullo au 11o. 6 yellow, alo f geen, 810 f red. a bulb is pichal at random.

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q1
Light bulhe in a box are 107% yellow, 30%. green,
and 60B red. The percentags 4 defeitie bullo
ari 17%. 6 yıllos, 2% 4 qen, 87. f red.
a bul is prchal at random.
t X = sempli apnce f aeleitino.
0 = event thut the alutin is defeelive
G =
%3D
green
yellow
red.
a) lae the Law f Total Probabilit, anıl the
abme prontages to compute p(0), th probubibly
tht the bulf choen io defective
b) Mote that
p(YID) p(0) = p(Yno) = p(DI) p() (Baye's
Rule)
pr riD). (using part a).
%3D
loe this to
comp ute
CS Scanned with CamScanner
Transcribed Image Text:Q1 Light bulhe in a box are 107% yellow, 30%. green, and 60B red. The percentags 4 defeitie bullo ari 17%. 6 yıllos, 2% 4 qen, 87. f red. a bul is prchal at random. t X = sempli apnce f aeleitino. 0 = event thut the alutin is defeelive G = %3D green yellow red. a) lae the Law f Total Probabilit, anıl the abme prontages to compute p(0), th probubibly tht the bulf choen io defective b) Mote that p(YID) p(0) = p(Yno) = p(DI) p() (Baye's Rule) pr riD). (using part a). %3D loe this to comp ute CS Scanned with CamScanner
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