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Suppose a random variable X with values a x b has a uniform distribution. Show that the
expected value E ( x ) = 2 a + b and variance 2 = 12 ( b a ) 2 .

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  • 1. Suppose a random variable X with values a x b has a uniform distribution. Show that the expected value E ( x ) = 2 a + b and variance 2 = 12 ( b a ) 2 .