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# problemset06 - STAT/MA 416 September 2 2011 Problem Set 6...

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STAT/MA 416 September 2, 2011 Problem Set 6 Name: 1. Harmonicas. When ordering a new box of harmonicas, let X denote the time until the box arrives, and let Y denote the number of harmonicas that work properly. Is X a continuous or discrete random variable? Why? Is Y a continuous or discrete random variable? Why? 1

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2. 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 X be the page number of the chosen page. Thus, X is an integer-valued random variable between 1 and 1000. (a.) Find P ( X = 122). (b.) Find P ( X = 977). (c.) Find P ( X = - 2). (d.) Find P ( X = 1003). (e.) When x is an integer between 1 and 1000, find P ( X = x ). (f.) Find P ( X 3). (g.) Find P ( X 122). (h.) Find P (12 X 17). (i.) Find P ( X > 122). (j.) Find P ( X = 15 . 73). (k.) Find P ( X 15 . 73). 2
3. Socks. A matching pair of blue socks, a matching pair of red socks, and one lone white right-footed sock are in a drawer. The socks are pulled out of the drawer, one at a time.

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problemset06 - STAT/MA 416 September 2 2011 Problem Set 6...

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