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Practice with probability and statistics - Feel free to use a calculator (or spreadsheet) to add/divide/etc, but please dont use any built-in statistical functions. You measure the lengths of 14 objects in a box and get the following results (in cm): 2, 2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 7, 8, 8 A. What is the probability that an object chosen at random from this box has length 2 cm? What is the average length of the(L) (also called the expectation value of length) of the objects? C. What is the probability that an object chosen at random from the box has length (L)? D. What is the average value of the square of the lengths, (L2)? E. Use your results to find the standard deviation,0, of the lengths. F What is the probability that the length of an object chosen randomly from this box is in the range Given what you know about the meaning of ơ, write a sentence about whether your result in part F. seems reasonable. G.

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