From previous records on winter weather for a town, the probability that it snows on a given day is 0.2. Records also reveal that low temperature (say less than 00F) occurs on 5% of the days, whereas windy days occur 10% of the time. If temperature is low, the probability of snow on that day is increased to 30%. Let S, C, and W denote the events of snow, low temperature and gusty wind, respectively, on a given day. The event W may be assumed to be statistically independent of S and C. (a) What is the probability of having a doomsday (i.e., snow, low temperature, and gusty wind all occurring on the same day)