
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
Suppose on each working day, the probabilities of four people, A, B, C, and D, needing to use a certain device are $0.6$, $0.5$, $0.5$, and $0.4$ respectively. The need for the device by each person is independent of the others.  
(Ⅰ) Calculate the probability that at least $3$ people need to use the device on the same working day;  
(Ⅱ) Let $X$ represent the number of people needing to use the device on the same working day, calculate the expected value of $X$.

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