STAT230 Study Guide - Midterm Guide: Sample Space

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STAT230 Full Course Notes
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STAT230 Full Course Notes
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Short solutions to stat 230 test 1, jan 18, 2012: four letters addressed to individuals w , x, y and z are randomly placed in four addressed envelopes, one letter in each envelope. [4] (a) list a 24-point sample space for this experiment. Suppose the four envelopes are arranged in a row as w xy z. [3] (b) assuming that the 24 sample points are equally likely, nd the probability of the following events: A = w "s letter goes into the correct envelope . B = exactly two letters go into the correct envelopes . P (b) : 1 1 1 1 (4. C= exactly three letters go into the correct envelopes . = 0: in lotto 6/49 you purchase a lottery ticket with 6 di erent numbers, selected from the set {1, 2, , 49}. In the draw, six (di erent) numbers are randomly selected from the same set. Note that the selection of numbers is without replacement.

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