Find a measure (mu) on ((mathbb{R}, mathscr{B}(mathbb{R}))) which is (sigma)-finite but assigns to every interval ([a, b))

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Find a measure \(\mu\) on \((\mathbb{R}, \mathscr{B}(\mathbb{R}))\) which is \(\sigma\)-finite but assigns to every interval \([a, b)\) with \(b-a>2\) finite mass.

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