it's stochastic calculus for finance

We consider the measurable space (,F) where ={1,2,3,4,5,6} and F=P(). We define the probability measure P on by P(i)=21i. We then define the random variables X and Y by Y(i)=(1)i, and X(i)={11ifi3ifi>3 We also define Z=X+Y. (4.1) List all the sets in (X) (4.2) Determine E[YX] and E[ZX] by specifying the value of each random variable for each i. (6) (4.3) Compute E[ZX]E[YX] We consider the measurable space (,F) where ={1,2,3,4,5,6} and F=P(). We define the probability measure P on by P(i)=21i. We then define the random variables X and Y by Y(i)=(1)i, and X(i)={11ifi3ifi>3 We also define Z=X+Y. (4.1) List all the sets in (X) (4.2) Determine E[YX] and E[ZX] by specifying the value of each random variable for each i. (6) (4.3) Compute E[ZX]E[YX]