
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
The probability distribution of the random variable $X$ is given by $P(X=k)= \frac {c}{k(k+1)}$, where $k=1$, $2$, $3$, $4$, and $c$ is a constant. Find the value of $P( \frac {1}{2} < X < \frac {5}{2})$.

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