X and Y are independent random variables X is uniform over [1,5] Y is exponential with λ=2 We?

... like to study Z=(Y/2)-(1/X) Let A=Y/2 and B=1/X so that Z=A-B 1/ Express E(Z) in terms of E(A) and E(B) 2/ Express V(Z) in terms of V(A) and V(B)

... like to study Z=(Y/2)-(1/X)
Let A=Y/2 and B=1/X so that Z=A-B
1/ Express E(Z) in terms of E(A) and E(B)
2/ Express V(Z) in terms of V(A) and V(B)
3/ Calculate E(A) and V(A)
4/ Calculate E(B) and V(B)
5/ Calculate E(Z)
6/ Calculate V(Z)

or:... like to study Z=(Y/2)-(1/X) Let A=Y/2 and B=1/X so that Z=A-B 1/ Express E(Z) in terms of E(A) and E(B) 2/ Express V(Z) in terms of V(A) and V(B) 3/ Calculate E(A) and V(A) 4/ Calculate E(B) and V(B) 5/ Calculate E(Z) 6/ Calculate V(Z)

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