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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

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.)

a) What is the probability that Milhouse goes longer than a month without a smile from Lisa?

b) What is the probability that Milhouse waits no more than two months to see a smile from Lisa?

c) What is the probability that Lisa smiles at Milhouse on exactly three days in a month?

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