Let X denote the lifetime of a radio, in years, manufactured by a certain company. The density function of X is given by f (x)= ⎧ ⎨ ⎩ 1 e−x/15 if 0 ≤ x < ∞ 15 0 elsewhere. What is the probability that, of eight such radios, at least four last more than 15 10. 11. years?