problemset04

problemset04 - STAT/MA 416 August 29, 2011 Problem Set 4...

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STAT/MA 416 August 29, 2011 Problem Set 4 Name: 1. Choosing a page at random. A student buys a brand new calculus textbook that has 1000 pages, numbered from 1 to 1000, of course. She randomly opens the book to a page and starts to read! Assume that any of the 1000 pages are equally likely to be chosen. Let B be the event that at least one of the digits on the chosen page is a “5” (for example, the page could be 572 or 505 or 355 or 115 etc., etc.). Let C be the event that at least two of the digits on the chosen page are “5” (for example, 355 or 575, etc.). (a.) Given that B occurs, find the conditional probability of A , the event that 555 is the selected page. (b.) Given that C occurs, find the conditional probability of A , the event that 555 is the selected page. 1
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2. Socks. A matching pair of blue socks, a matching pair of red socks, and one lone white right-footed sock are in a drawer. Suppose that a person is looking for the two matching blue socks. He blindly pulls two
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problemset04 - STAT/MA 416 August 29, 2011 Problem Set 4...

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