Random student in a class was born. Is this a discrete or a continuous random variable? Well that year, you literally can define it as a specific discrete year. It could be 1992 or it could be 1985 or it could be 2000 and 2001. There are discrete values that this random variable can actually take on. It won't be able to take on any value between 2000 and 2001. It will either be 2000 or it will be 2001 or 2002.