EX 3.5 latitude and longitude

• Suppose a location (latitude and longitude) in the continental United States is selected at random.
• Define a random variable (rv) $Y$ as follows:
  • For example, if the selected location is $\left({39}^{\circ }{50}^{\prime }\mathrm{N},{98}^{\circ }{35}^{\prime }\mathrm{W}\right)$, then:
  • $Y\left(\left({39}^{\circ }{50}^{\prime }N,{98}^{\circ }{35}^{\prime }W\right)\right)=1748.26\mathrm{ft}$ as the altitude
• The largest possible value of $Y$ is $14,494$ (Mt. Whitney).
• The smallest possible value is $-282$ (Death Valley).
• The set of all possible values of $Y$ is:
  • $\{y:y\text{ is a number, }-282\le y\le 14,494\}$
• There are an infinite number of values in this interval.