3. Cheap lights for a holiday display that operates continuously for about four weeks have a designed lifetime of one month. There are two types of lights whose lifetime is statistically described by time to failure random variables X and X, where time t is units of months. X is Beta(2,2) while X, is Beta(3,3). The MTTF is the same for both types of lights. If it is important that lights continue to function toward the end of the lifetime of the lights, which of these two types of lights is should be selected?