
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 \(\xi\) be a non-negative random variable and \(a > 0\). Find the maximum possible value for the probability \(\mathrm{P}\{\xi \geqslant a\}\) in each of the following cases:

(a) \(\mathrm{E} \xi = m\);

(b) \(\mathrm{E} \xi = m\), \(\mathrm{D} \xi = \sigma^{2}\).

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