A resident of a metropolitan region has a 50\% probability of being late for work when it rains in the region; if it does not rain, his probability of being late is 25\%. For a given day, the meteorological service estimates a 30\% probability of rain occurring in that region.
What is the probability that this resident will be late for work on the day for which the rain estimate was given?\\
(A) 0.075\\
(B) 0.150\\
(C) 0.325\\
(D) 0.600\\
(E) 0.800