e) memoryless property
2a)
not independent, so use principle of inclusion/exclusion
same as above, partition set A into A = A&Bc U A&B
c)
same as above
3)a)
i think thats correct
cut off answer...
shortcut would be to say that you birth exponential with arrival length of 1/lambda
c)
no need to us***e's rule here I dont think
P(A|Fc)=is just P(T>5.29), T~N(2,2^2)
d)
same here
e)
here you would have to us***e's rule