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Unformatted text preview: University of Colorado, Department of Physics PHYS3220, Fall 09, HW#3 due Wed, Sep 9, 2PM at start of class 1. Probabilities and expectation (average) values (total: 10 pts) A box contains 18 small items, of various lenghts. The distribution of lengths in cm of the set of objects is 3,3,3,3,4,6,6,6,8,8,8,8,9,9,9,11,11,11 a) What is the probability that an object chosen at random from the box will have length 8 cm, assuming there is an equal probability of selecting any one object? b) What is the average length < L > (also called expectation value of length) of an object in the box? c) What is the probability that an object chosen at random from the box will have length < L > , assuming that there is an equal probability of selecting any one object? d) What is the average of the square of the length < L 2 > of an object in the box? e) Use your previous result to compute the standard deviation σ for the length of an item drawn from the box?...
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This note was uploaded on 02/27/2012 for the course PHYSICS 3220 taught by Professor Stevepollock during the Fall '08 term at Colorado.
- Fall '08