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2. (13 pts) The random variable X has the following probability distribution: X f (x) 0 25 20 15 AWNH .30 10 a. What type

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2. (13 pts) The random variable X has the following probability distribution: X f (x) 0 25 20 15 AWNH .30 10 a. What type of random variable are we having here? Discrete or continuous? b. Is this probability distribution valid ? Explain and list the requirements for a valid probability distribution. c. Calculate the expected value of X. d. Calculate the variance of X. e. Calculate the standard deviation of X

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