a) Let Y be a nonnegative rv and y > 0 be some fixed number. Let A be the event that Y ≥ y. Show that y 1 A ≤ Y (i.e., that this inequality is satisfied for every ! ω Ω). b) Use your result in part...

a) Let Y be a nonnegative rv and y > 0 be some fixed number. Let A be the event that Y ≥ y. Show that y¹A ≤ Y (i.e., that this inequality is satisfied for every ! ω