Consider the Following Linear Transformation of a Random Variable Y $\frac { x - \mu _ { x } } { \sigma _ { x } }$

question 55

Multiple Choice

Consider the following linear transformation of a random variable y = $\frac { x - \mu _ { x } } { \sigma _ { x } }$ where ?_x is the mean of x and ?_x is the standard deviation. Then the expected value and the standard deviation of Y are given as

• A)0 and 1
• B)1 and 1
• C)Cannot be computed because Y is not a linear function of X
• D) \(\frac { \mu } { \sigma _ { x } }\) and ?_x

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