4.9 LA Weather, Part II:  A previous exercise states that average daily high temperature in June in LA is $\displaystyle {77}^{\circ}{F}$ with a standard deviation of $\displaystyle {5}^{\circ}{F}$, and it can be assumed that they to follow a normal distribution. We use the following equation to convert $\displaystyle \sim^{\circ}{F}$ (Fahrenheit) to $\displaystyle \sim^{\circ}{C}$ (Celsius):

$\displaystyle {C}={\left({F}-{32}\right)}\times{\frac{{{5}}}{{{9}}}}$
a) What is the probability of observing a $\displaystyle {28}^{\circ}{C}$ (which roughly corresponds to $\displaystyle {83}^{\circ}{F}$) temperature day or higher in June in LA? Calculate using $\displaystyle \sim^{\circ}{C}$.
(please round to four decimal places)


b) Estimate the inter-quartile range for temperatures in LA in June. (please round each answer to two decimal places)
The 25th percentile is approximately $\displaystyle \sim^{\circ}{C}$ while the 75th percentile is approximately $\displaystyle \sim^{\circ}{C}$. Thus, the interquartile range is approximately $\displaystyle \sim^{\circ}{C}$.