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v \sim (0, \sigma_v^2 ), u\sim (0,\sigma_u^2 )
y^*=\beta x^*+\epsilon
P(H=1)&=&P\bigg(\bigcap_{p:{\rm prime}}(E_p\cap F_p)^c\bigg)\\
&=&\prod_{p:{\rm prime}}P<span class=
0.9^3*0.8^2*2.288818359375=1.06787109375
1-(1-0.2)^5=0.67232