1.First, we should be clear about what is a variable and what makes it a random variable. A variable as the name indicates can vary meaning it can produce different outcomes. Thus color of a car is a variable since different cars can have different colors. For a variable to be a random variable, it requires that there is a given probability associated with each of those outcomes. Thus in a car dealership if we know all the different colored cars in stock, we can compute the probability of finding a particular color if we pick a car at random, The color of a car will then become a random variable. You have defined discrete and continuous variables. So, if our variable is likely snowfall on a given day, what type of variable will it be?
2.Provide an example of a discrete data in your work situation that at least approximately obeys the rules for the Binomial distribution.