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5 A probability density function of a random variable is given by f(x) = 5+ on the interval [4, 36]. Find the expected value, the

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5 A probability density function of a random variable is given by f(x) = 5+ on the interval [4, 36]. Find the expected value, the variance, and the standard 200 X deviation. The expected value is J (Round to two decimal places as needed.) The variance is Var(X) ~ (Round the final answer to two decimal places as needed. Use the expected value rounded to two decimal places. Do not round any other intermediate values.) The standard deviation is o (Round the final answer to two decimal places as needed. Use the expected value and variance rounded to two decimal places. Do not round any other intermedia values.)

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