[機統] Bayes's定理-北科大電通所甲組消失
題目 :
A die tossed and the nimber of dots N1 is noted an integer N1 is
then selected at random from {1,2...,N1}
(a) Find the probability of the event {N2 = 3}
(b) Find the probability of {N1=4} given {N2=5}
解答 :
(a) P{N=3} = P{N2=3|N1=1}P{N1=1} +
P{N2=3|N1=2}P{N1=2} +
P{N2=3|N1=3}P{N1=3} +
P{N2=3|N1=4}P{N1=4} +
P{N2=3|N1=5}P{N1=5} +
P{N2=3|N1=6}P{N1=6}
= 0 + 0 + 1/3 + 1/4 + 1/5 + 1/6
= 19/120
想請問一下,為何 P{N2=3|N1=1}P{N1=1} = 0
P{N2=3|N1=2}P{N1=2} = 0
N2到底是甚麼東西呢,謝謝!!
(b) 0
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