The daily maximum temperature in June in Tucson, Arizona, varies between 80° F and 110° F. Using 100 years of data, the average daily maximum temper- ature in June is estimated is 95° F and the corresponding standard deviation is 10°F. Assume that the daily maximum temperature can be modeled by a beta distribution. Calculate the probability that on any given day in June, the daily maximum temperature will exceed 100°F.