LA weather, Part I

The average daily high temperature in June in LA is \({{ params.mu }} ^{\circ} F\) with a standard deviation of \({{params.sig}} ^{\circ} F\). Suppose that the temperatures in June closely follow a normal distribution.

Part 1

What is the probability of observing an $\({{params.temp}} ^{\circ} F\)$ temperature or higher in LA during a randomly chosen day in June?

Part 2

How cool are the coldest 16% of the days (days with lowest high temperature) during June in LA? Round to 1 decimal place.

Attribution

Problem is from the OpenIntro Statistics textbook, licensed under the CC-BY 4.0 license.