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Q2]... [10 points] Let Omega ={s_(1),s_(2),s_(3),s_(4)} and P(s_(1))=(1)/(6),P(s_(2))=(1)/(5),P(s_(3))=(1)/(3) and P(s_(4))=(3)/(10) . Define A_(n)={({s_(1),s_(2)} if n is odd ),({s_(2),s_(4)} if n is even ):} Find
Q2]... [10 points] Let
\\\\Omega ={s_(1),s_(2),s_(3),s_(4)}
and
P(s_(1))=(1)/(6),P(s_(2))=(1)/(5),P(s_(3))=(1)/(3)
and
P(s_(4))=(3)/(10)
. Define\
A_(n)={({s_(1),s_(2)} if n is odd ),({s_(2),s_(4)} if n is even ):}
\ Find
P(liminfA_(n))
.\ Find
P(\\\\lim_()supA_(n))
.\ Find
\\\\lim_()infP(A_(n))
.\ Find
\\\\lim_()supP(A_(n))
.
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