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h3 - STT 200/LECTURES 01 AND 06/SO8 HOMEWORK#3 DUE ON...

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STT 200/LECTURES 01 AND 06/SO8 HOMEWORK #3 DUE ON Friday, March14, 2008 NAMES (LAST, FIRST) _______________________________________ PID __________________________ SECTION ______________________ YOU MUST SHOW WORK IN THE SPACES PROVIDED. IF YOU WRITE DOWN JUST THE ANSWER, YOU WILL GET CREDIT ONLY FOR THE ANSWER. Number of points for each problem is in brackets [ ]. 1. [12] A couple plans to have children until they get a girl, but they agree that they will not have more than three children even if all are boys. (Assume boys and girls are equally likely.) (a) Create a probability model for the number of children they’ll have. (b) Find the expected number of children. (c) Find the expected number of boys they’ll have. 2 . [14] A sporting goods store announces a “Wheel of Savings” sale. Customers select the merchandise they want to purchase, then at the cash register they spin a wheel to determine the size of the discount they will receive. The wheel is divided into 12 regions, like a clock. Four of those regions are red, and award a 5% discount. The three white regions award a 10% discount, two blue regions a 25% discount, two green regions a 30%. The remaining region is gold, and a
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