Probability and Statistics for EngineeringHomework 2Spring 2011(due Tuesday, February 1)(1) If a prospective student first visits Washington University on a day when the weather is good, thereis a 60% chance that he or she will apply to WU. If the first visit occurs on a day when the weatheris fair, there is a 44% chance that he or she will apply. If the first visit occurs on a day when theweather is bad, there is a 20% chance that he or she will apply. (You may assume that everyprospective student visits.) The weather at WU is good 35% of the time, fair 50% of the time, andbad 15% of the time. If a prospective student decides to apply to WU, what is the probabilitynotthat 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#ÑBœ$ß%ß&ßá
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