
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 propositions P and Q, where proposition P states that the real number $p$ satisfies the binomial distribution $\xi \sim B(5, p)$ and $P(\xi=3) > P(\xi=4)$, and proposition Q states that the real number $p$ satisfies the equation $\frac{x^2}{3p} + \frac{y^2}{2-p} = 1$ representing an ellipse with foci on the $x$-axis. If the compound proposition $P \land Q$ is false and $P \lor Q$ is true, find the range of values for $p$.

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