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Statement of a problem № m41197

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Consider the following discrete probability distribution: x P(x) 3…………….0.13 6…………….0.12 9……………0.15 12…………..0.60 a. Calculate the variance and standard deviation of the random variable. b. Let y = x + 7. Calculate the variance and standard deviation of the random variable y. c. Let z = 7 x.Calculate the variance and standard deviation of the random variable z. d. From your calculations in part a and part b, indicate the effect that adding a constant to a random variable has on its variance and standard deviation. e. From your calculations in part a and part c, indicate the effect that multiplying a random variable with a constant has on the variance and the standard deviation of the random variable.




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