The problem below describes an experiment and defines a random variable.(a) Find the distribution of the random variable (and provide it as a chart).(b) Calculate the expected value of the random variable. A certain brand of trading cards is available in smaller packs that cost $2 each. Assume that any given pack has a 10% chance of containing a rare card, independently of other packs. Alice will buy and open a pack until she gets a rare card, but she will not buy more than five. Let M be the amount of money (in dollars) that Alice will spend.