4.9 LA weather, Part II. Exercise 4.7 states that average daily high temperature in June in LA is 77F with

a standard deviation of 5F, and it can be assumed that they to follow a normal distribution. We use the

following equation to convert F (Fahrenheit) to C (Celsius):

(a) Write the probability model for the distribution of temperature in C in June in LA.

(b) What is the probability of observing a 28C (which roughly corresponds to 83F) temperature or higher

in June in LA? Calculate using the C model from part (a).

(c) Did you get the same answer or dierent answers in part (b) of this question and part (a) of Exercise 4.7?

Are you surprised? Explain.

(d) Estimate the IQR of the temperatures (in C) in June in LA.