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To each part of the homework problems, make a complete problem statement and then show your...

To each part of the homework problems, make a complete problem statement and then show your work for each solution with detailed steps, otherwise, your solution will receive a grade zero, even if it is correct.

Suppose experience shows that 20% of couples that reserve a City Hall’s clerk office to get married never show up for their wedding. Suppose the clerk schedules 15 weddings for tomorrow, each for a fee, knowing there is only time to do 13 weddings. His guarantee is to refund $100, if he needs to turn a couple away.

(i) Find the probability he will marry all the couples that show up.

(ii) Find the expected value for the amount he must refund.

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