
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
Three continuous random variables have different distributions: a) uniform; b) exponential; c) normal. For all three distributions, \( M\left(X_{i}\right) = \sigma\left(X_{i}\right) = 4 \).

Find the probability for each distribution that the random variable \( X_{i} \) will take a value within the interval \( (2, 12) \).

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