Spring 2011 Homework 2 - Probability and Statistics for...

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Probability and Statistics for Engineering Homework 2 Spring 2011 (due Tuesday, February 1) (1) If a prospective student first visits Washington University on a day when the weather is good, there is a 60% chance that he or she will apply to WU. If the first visit occurs on a day when the weather is fair, there is a 44% chance that he or she will apply. If the first visit occurs on a day when the weather is bad, there is a 20% chance that he or she will apply. (You may assume that every prospective student visits.) The weather at WU is good 35% of the time, fair 50% of the time, and bad 15% of the time. If a prospective student decides to apply to WU, what is the probability not that he or she first visited on a day when the weather was fair? (2) Find the value of which makes the following function a density for a discrete random variable . -\ 0ÐBÑœ-†ÐÞ#Ñ Bœ$ß%ß&ßá
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