Question: Let ={a,b,c,d,f}. Consider the function X:R defined by X(a)=X(b)=10,X(c)=X(d)=15,X(e)=0 a) Determine the -algebra generated by X (write it explicitly) b) Now consider the the -algebra

Let ={a,b,c,d,f}. Consider the function X:R defined by X(a)=X(b)=10,X(c)=X(d)=15,X(e)=0 a) Determine the -algebra generated by X (write it explicitly) b) Now consider the the -algebra F defined by F={A,B,,} where A={a,b},B={c,d,e} : - Indicate if A is determined by X ? what about B ? - Come with a r.v. Y, for which A and B will be determined by it

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