Everyday I go to Starbucks.
1) On any day, define the amount I spend at Starbucks as a random variable X
X. A salted caramel mocha is 6$ and a regular coffee is $2.50. Write out the sample space for this experiment. Write out X
X as a function of the outcomes in the sample space. Argue that X
X is a discrete random variable.
2) Suppose further, that I am now interested in the amount of times I buy a regular coffee in the next 10 days. What type of random variable is this? What is the probability I buy exactly 7 coffees over the next 10 days?