
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
Given the random variable $\xi_{i}$ satisfies $P(\xi_{i}=1)=p_{i}$ and $P(\xi_{i}=0)=1-p_{i}$, where $i=1,2$. If $0 < p_{1} < p_{2} < \frac {1}{2}$, then compare the expected values $E(\xi_{1})$ and $E(\xi_{2})$, and compare the variances $D(\xi_{1})$ and $D(\xi_{2})$.

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