4. Assume you are an insurance co. analyst interested in estimating probability of a widespread fire in Northern California. Given prior years' data, the probability Northern California experiences a widespread fire during fire season (April through October) equals 0.095 in any month of a season. For simplification purposes assume fires occur independently and that the probability of a fire in months November through March is 0. Calculate the probability that during 6 months of a fire season (Apr through Oct), Northern California experiences fire: a In both May and September. (0.5 point) b) For the first time in June. (0.5 point) C) In first 3 months of a fire season (0.5 point) d) Calculate the probability fire does NOT occur in any months of a fire season. (0.5 point) Calculate the probability fire occurs at least in one month of a fire season. (0.5 point)