Find the expected value of the random variable.
Bruno goes fishing every day in the summer for 5 hours a day. Let X be the amount of time (in hours) that goes by until he notices that he catches his first fish (there is always a fish on his line by the end of the day, because he fishes in a very densely populated pond). So X has density
Fx(x) = 3/245 (x2+ 8)
For 0 ≤ x ≤ 5
And fx(x) = 0 otherwise.