Question: The random variable x has the following probability distribution. x f(x) 0 0.15 1 0.20 2 0.25 3 0.25 4 0.15 (a) Is this

The random variable x has the following probability distribution. x f(x) 0 0.15 1 0.20 2 0.25 3 0.25 4 0.15 (a) Is this probability distribution valid? Explain and list the requirements for a valid probability distribution. (b) Calculate the expected value of x. (c) Calculate the variance of x. (d) Calculate the standard deviation of x. (Round your answer to four decimal places.) AG

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