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CE93Engineering 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:
±²³ ´
µ¶·¸ ±¹³ ´ µ¶²·º ±»¹³ ´ µ¶²·
(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
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