Let U1, U2, and U3 be independent uniform random
Chapter , Problem 74(choose chapter or problem)
Let \(U_1, U_2\), and \(U_3\) be independent uniform random variables.
a. Find the joint density of \(U_1, U_2\), and \(U_3\).
b. The locations of three gas stations are independently and randomly placed along a mile of highway. What is the probability that no two gas stations are less than \(\frac{1}{3}\) mile apart?
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