Alittle boy plays outside in the yard. on his own he would come back inside at a random time uniformly distributed on the interval [0, 1]. (let us take the units to be hours.) however, if the boy is not back inside in 45 minutes his mother brings him in. let x be the time when the boy comes back inside (a) find the cumulative distribution function f of x (b) find the mean e(x) (c) find the variance var(x) hint.