
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
An urn contains 5 white balls and 10 black balls. A single ball is drawn at random from the urn. Determine the probability distribution of the random variable \(X\), representing the number of white balls drawn. Calculate the expected value, variance, and standard deviation of this random variable.

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