
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let $X$ be a discrete random variable with $E(X)=6$ and $D(X)=0.5$. If $X_1 = 2X - 5$, find $E(X_1)$ and $D(X_1)$ respectively.

A) $E(X_1)=12$, $D(X_1)=1$
B) $E(X_1)=7$, $D(X_1)=1$
C) $E(X_1)=12$, $D(X_1)=2$
D) $E(X_1)=7$, $D(X_1)=2$

Present the answer in LaTex format: \boxed{Your answer}
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