sampleexamcontinuous

sampleexamcontinuous - STA 4321/5325 Spring 2010 Sample...

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STA 4321/5325 Spring 2010 Sample Exam: Continuous random variables Full Name: On my honor, I have neither given nor received unauthorized aid on this examination. Signature: This is a 50 minute exam. There are 4 problems, worth a total of 40 points. Remember to show your work. Answers lacking adequate justi±cation may not receive full credit. You may use one letter-sized sheet (the same size as the lecture notes) of your own notes and a pocket calculator. (You are not required to bring a calculator | you may leave your answers in a form from which the numerical answer could be immediately calculated.) You may not use any books, other references, or text-capable electronic devices. 1. Let X be an exponential random variable with mean 9. (a) Provide the probability density function of X . [2 pts] (b) Find P (25 ± X ± 45 j X > 20). [4 pts] (c) Provide E [ X ( X + 3)]. [4 pts] 2. In tests of stopping distance for automobiles, cars traveling 30 miles per hour before the brakes were applied tended to travel distances that appeared to be uniformly distributed
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sampleexamcontinuous - STA 4321/5325 Spring 2010 Sample...

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