TheWorld Almanac provides information on past and projected total solar eclipses from 1955 to 2015. Unlike total lunar eclipses, observing a total solar eclipse from Earth is rare because it can be seen along only a very narrow path and for only a short period of time.
a. Let X denote the duration, in minutes, of a total solar eclipse. Is X a discrete random variable? Explain your answer.
b. Let Y denote the duration, to the nearest minute, of a total solar eclipse. Is Y a discrete random variable? Explain your answer.