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A Uniform[0, 10] is a continuous random variable Y which assumes any value between [0, 10]...

A Uniform[0, 10] is a continuous random variable Y which assumes any value between [0, 10] with equal chance, with density f(y) = 1/10 for all y ∈ [0, 10] and zero everywhere else. Check that it satisfies the properties that a density function should have. Find its distribution function F(y) for all y ∈ (−∞,∞) and show that it satisfies the properties that a distribution function should have.

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