A reference states that average daily high temperature in June in a particular city is 95F with a standard deviation of 7F, and it can be assumed that they to follow a normal distribution. We use the following equation to convert F (Fahrenheit) to C (Celsius): 5 c: F32 x_ ( ) 9 (a) Write the probability model for the distribution of temperature in c'C in June in this city. (Round your standard deviation to four decimal places.) ~(.-:,.-:) (b) What is the probability of observing a 38C (which roughly corresponds to 100.4F) temperature or higher on a randomly selected day in June in this city? Calculate using the C model from part (a). (Round your answer to four decimal places.) E (c) The probability of observing a 100.4F temperature or higher on a randomly selected day in June in this city is approximately 0.2202. Did you get the same answer or a different answer in part (b)? Are you surprised? Explain. 0 Both sets of calculations produced approximately the same answer which isn't surprising since the means and the standard deviations are the same. 0 The two sets of calculations produced very different answers which isn't surprising since the conversion formula had to be applied to the numbers. Both sets of calculations produced approximately the same answer which isn't surprising since once we standardize the Z-scores are the same. 0 The two sets of calculations produced very different answers which isn't surprising since the means and the standard deviations of the two distributions are different. 0 The two sets of calculations produced very different answers which isn't surprising since once we standardize the Zscores are the different. (d) Estimate the IQR of the temperatures (in C) in June in this city. (Round your answer to two decimal places.)