
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
Find the point estimate of the unknown parameter \( p \) (the probability of the occurrence of an event in a single trial) of the binomial distribution using the method of maximum likelihood:

\[ P_{m}\left(x_{i}\right)=C_{m}^{x_{i}} p^{x_{i}}(1-p)^{m-x_{i}} \]

where \( x_{i} \) is the number of occurrences of the event in the \( i \)-th experiment, \( m \) is the number of trials in a single experiment, and \( n \) is the number of experiments.

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