
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
To prevent the hazards of wind and sand, a certain area decided to establish a protective green belt by planting poplars, willows, and other plants. A person once planted $n$ willow saplings. The survival of each willow is independent, with a probability of survival $p$. Let $X$ be the number of surviving willow saplings. The mathematical expectation $E(X)=3$, and the standard deviation $\sqrt{D(X)}$ is $\frac{\sqrt{6}}{2}$.

(Ⅰ) Find the values of $n$ and $p$, and write out the distribution of $X$.

(Ⅱ) If there are $3$ or more willow saplings that do not survive, replanting will be needed. Calculate the probability that replanting will be required.

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