
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
A beverage company has hired a new employee and is conducting a test to determine their salary level. The company has prepared 8 cups of two different beverages, all of the same color, with 4 cups of beverage A and 4 cups of beverage B. The employee is required to taste each cup and select 4 cups of beverage A. If all 4 selections are correct, the monthly salary will be 3500 yuan; if 3 out of 4 selections are correct, the monthly salary will be 2800 yuan, otherwise, the monthly salary will be 2100 yuan. Let X represent the number of correct selections of beverage A by the employee. Assume that the employee has no ability to distinguish between beverages A and B.
(1) Find the probability distribution of X;
(2) Find the expected monthly salary of this employee.

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