1. If x,y, and z are chosen randomly on the interval (0,1), what is
the probability that the mean of x,y, and z is less than 1/4 ?
2. How many integer solutions are there to x^2 + y^2 + z^2 = x^2 *
y^2 ?
3. write sqrt(29 + 12*sqrt(5)) in the form (a + b*sqrt(c)) where a,b,
and c are integers.
4. Consider 64 objects, each with a different weight. What is the
minimum number of pair wise weight comparisons needed to determine the
heaviest and 2nd heaviest objects?
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