3.7 LA weather, Part I: The average daily high temperature in June in LA is 78°F with a standard deviation of 5°F. Suppose that the temperatures in June closely follow a normal distribution.
a) What is the probability of observing an 85°F temperature or higher in LA during a randomly chosen day in June? (Keep 4 decimal places.)b) How cool are the coldest 10% of the days (days with lowest average high temperature) during June in LA? (Keep 1 decimal palce.)