Problem 1. (1 point) The Accuweather website reports that the daily high temperature in Calgary for the month of October is normally distributed with a mean daily high of 9.7 degrees Celsius with a standard deviation of 2.7 degrees Celsius. Note: for all calculations below. please use R, not the standard normal table (z-table)! (a) You randomly pick a day in October and and observe the daily high temperature in degrees Celsius. What is the probability the daily high is between 7.5 and 12.1 degrees Celsius? P(7.5 S X S 12.1) = E (Bound to at least four decimals in your answer) (b) What percentage of all days in October will have a daily high temperature that is less than 2 degrees Celsius? Round your answer to at least four decimals. % of all days in October will have a daily high temperature that is less than degrees Celsius. (c) 8% of the time, the daily high temperature in Calgary during the month of October will exceed what temperature, in degrees Celsius? Round to at least two decimals in your answer. ' E degrees Celsius preview answers