Given the discrete probability distribution shown to the right, a. Calculate the expected value of ( x ). b. Calculate the variance of ( x ). c. Calculate the standard deviation of ( mathbf{x} ). a. ( E(x)= ) (Type an integer or a decimal.) b. ( sigma_{x}^{2}= ) (Type an integer or a decimal.) c. ( sigma_{ mathrm{x}}=

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Given the discrete probability distribution shown to the right, a. Calculate the expected value of   ( x   ). b. Calculate the variance of   ( x   ). c. Calculate the standard deviation of   (   mathbf{x}   ). a.   ( E(x)=   ) (Type an integer or a decimal.) b.   (   sigma_{x}^{2}=   ) (Type an integer or a decimal.) c.   (   sigma_{  mathrm{x}}=   ) (Type an integer or decimal rounded to two decimal places as needed.)

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