Let K be a discrete random variable that can take the values 1 , 2 , and 3 , all with equal probability. Suppose that X takes values in [0,1] and that for x in that interval we have

Question

Let  K  be a discrete random variable that can take the values  1 ,  2 , and  3 , all with equal probability. Suppose that  X  takes values in  [0,1]  and that for  x  in that interval we have

fX|K(x|k)=⎧⎩⎨1,2x,3x2,if k=1,if k=2,if k=3. 
 
Find the probability that  K=1 , given that  X=1/2 .

ugh · Accepted Answer

4/11

Pihu · Answer

(e^−y/2)/(e^−y+e^−y/2+1/3*(e^−y/3))

Cosi · Answer

Y is not a valid variable in the answer...