The time interval Y between successive feedings of a certain type of insect has an exponential distribution with mean proportional to a positive measured characteristic x of the insect. Suppose we observe n independent insects, observing time intervals Y1, . . . , Yn with associated characteristics x1, . . . , xn.


Let E(Y)=a.

I have need to calculate  E(Y{_1}/X{_1}). I supposed they were independent and then using the information i have E(Y)=cX so I get a/(c/a)=a^2/c. I think however that it is wrong.