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    Joint Distributions

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    John makes a mark on a straight stick that is 1 meter in length; you assign a uniform distribution to the location of the mark(uniform over the entire length of the stick). John cuts the stick at that mark, making two sticks.

    John then takes the larger stick and makes a mark on it; you assign a uniform distribution to the location of the mark(uniform over the entire length of the larger stick). John cuts the larger stick at that mark, making a total of three sticks.

    What is your probability that John can make a triangle out of the three sticks?

    Multiple Choice Answers:
    a) 0.250
    b) 0.324
    c) 0.386
    d) 0.412

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    Solution Summary

    The solution discusses John makes a mark on a straight stick that is 1 meter in length; you assign a uniform distribution to the location of the mark(uniform over the entire length of the stick). John cuts the stick at that mark, making two sticks.

    John then takes the larger stick and makes a mark on it; you assign a uniform distribution to the location of the mark(uniform over the entire length of the larger stick). John cuts the larger stick at that mark, making a total of three sticks.

    What is your probability that John can make a triangle out of the three sticks?

    Multiple Choice Answers:
    a) 0.250
    b) 0.324
    c) 0.386
    d) 0.412

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