Question #152212
P(X = x) = k/x+1; where x=1,2,3
Evaluate k.
1
Expert's answer
2020-12-21T18:00:58-0500

P(X=1)+P)X=2)+P(X=3)=1

k1+1+k2+1+k3+1=1\frac{k}{1+1}+\frac{k}{2+1}+\frac{k}{3+1}=1

k(12+13+14)=1k(\frac{1}{2}+\frac{1}{3}+\frac{1}{4})=1

k1312=1k\frac{13}{12}=1

k=1213k=\frac{12}{13}


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