
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 device consists of 10 independently operating elements. The probability of failure for each element over time \( T \) is 0.05. Use Chebyshev's inequality to estimate the probability that the absolute value of the difference between the number of failed elements and the average number (expected value) of failures over time \( T \) will be: 
a) less than two; 
b) more than or equal to two.

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