HW3-S10

# HW3-S10 - ME 365 HOMEWORK SET 3 Spring 2010 Out Thursday...

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ME 365 HOMEWORK SET 3 Spring 2010 Out: Thursday, January 28, 2010 Due: Thursday, February 4, 2010. -1- Statistics Problem 1. Shown below is a probability density function of how many minutes a Purdue student will spend studying on a Friday night. a) If p(x) is really a probability density function, then how should a and b be related? b) If b=0.01, what is the average time a student will spend studying? c) What is the probability that a student will study for more than an hour? Problem 2 Roger Federer’s service speed follows a Gaussian distribution (based on a database that has recorded the speed of all of his services in his life) with μ x = 125 mph and σ x = 5 mph. Assume no changes in his physical ability and conditions (no injuries, same racquet, same shoes etc.). a) What is the probability that his next service speed (in the semifinal of the Australian Open against Tsonga) will be between 120 mph and 130 mph? b)

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HW3-S10 - ME 365 HOMEWORK SET 3 Spring 2010 Out Thursday...

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