Statistics Question (True/False)

True or false, and why?

1) Let the random variable X be the number of customers in a store in a given day, then the probability distribution of X can be described by a density function.
2) Let X be the increase in price of (a share of) IBM stock in a given day, then X is a continuous random variable.

Thanks

1) FALSE, a discrete variable has a probability mass function

2) FALSE, strictly speaking, it is a discrete random variable in cents