Let X be a random variable with population mean u and population variance 02. a. What is the expected value of X? Note:

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Let X Be A Random Variable With Population Mean U And Population Variance 02 A What Is The Expected Value Of X Note 1 (109.56 KiB) Viewed 77 times

Let X be a random variable with population mean u and population variance 02. a. What is the expected value of X? Note: Your answer here is a function of the population distribution parameters, not a number. b. You know that the variance of X is equal to the expected value of the squared deviations from its mean (in formula: 02 E [(X – u)?]. Show that the variance is also equal to E [X2] – 12. Hint: Use the properties of summations and expected values. c. Let Z be a random variable equal to the standardized version of X. Write down the formula for Z (i.e. show in a formula how you would transform X in order for it to have a mean equal to zero, and a standard deviation equal to 1). d. Show that E[Z] = 0