Given That X Is a Normal Variable, Which of the Following

question 76

Short Answer

Given that X is a normal variable, which of the following statements is (are) true? $\begin{array}{|l|l|}\hline A&\text {The variable \( X+5 \) is also normally distributed. }\\\hline B&\text {The variable \( X-5 \) is also normally distributed. }\\\hline C&\text { The variable \( 5 X \) is also normally distributed. }\\\hline D&\text {All of these choices are correct. }\\\hline \end{array}$

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Definitions:

Ming Dynasty

A major Chinese dynasty that ruled between 1368 and 1644, known for its cultural achievements and the expansion of the Great Wall of China.

Eunuchs

Males who have been castrated, historically often serving in special social or political roles, such as guardians of harems or court officials.

Last Ruling Emperor

Refers to the final sovereign emperor of a ruling dynasty before its dissolution, often marking the end of a historical era or major political transformation.

Sadhus

Holy men or religious ascetics in Hinduism who have renounced the worldly life to focus on spiritual practices and asceticism.