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Assignment 8

# Assignment 8 - CE93-Engineering Data Analysis Joan Walker...

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CE93-Engineering Data Analysis Joan Walker, Spring 2011 Assignment 8 Due 4/6/2011 11:10 AM 1. A student stayed up the whole night studying in the university library. In the morning he felt very tired and decided to walk back home from the library. His home is located on the same street 1000 feet away. Since he is staggering, the distance covered in a step is random. In particular, the distance covered in 1 step has the following probability mass function: (A negative value means that the step took him further from, instead of toward, his house he is really exhausted!). Each step taken is independent of other steps. a. What is the expected value of the distance covered in one step? b. What is the variance of the distance covered in one step? c. What is the (approximate) probability that he has not reached his home after taking 900 steps? 2. Summer thunderstorms in Cleveland air traffic control center airspace occur at a rate of 0.5 per day over the 16 week period from May to early September. Thunderstorms are considered to be

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