Random Variable X Directions: Compute the expected value, variance, and standard deviation for random variable X whose probability table is given below: Possible Outcome 8 10 12 14 0.1 0.4 0.4 0.1 Probability Probability Table for X 1. The Expected Value of X is E(X) 2. The Variance of X is Var(X) 3. The Standard Deviation of X is Std(X) Random Variable Y Directions: Compute the expected value, variance, and standard deviation for random variable Y whose probability table is given below: Possible Outcome 8 10 12 14 0.3 0.2 0.2 0.3 Probability Probability Table for Y 1. The Expected Value of Y is E(Y) 2. The Variance of Y is Var(Y) = 3. The Standard Deviation of Y is Std(Y)

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A: Mean = Summation (x.p(xi)) Variance = summation (x2.p(xi)) - (mean2) Standard deviation = √variance

Q: Expected value  , variance  , and standard deviation

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