Poor Milhouse is hopelessly in love with Lisa. Unfortunately for Milhouse, Lisa does not feel the same way. However, Milhouse remains hopeful, since on any given day independently there is a 5% chance that Lisa smiles at him. (Assume a month has 30 days for this problem.) What is the probability that Milhouse goes longer than a month without a smile from Lisa? What is the probability that Milhouse waits no more than two months to see a smile from Lisa? What is the probability that Lisa smiles at Milhouse on exactly three days in a month? Use a Poisson approximation to calculate the probability that Lisa smiles at Milhouse on exactly three days in a month.