
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
Due to various reasons, televisions sent for repair usually have all kinds of malfunctions. Therefore, the time (service time) required to fix the malfunctions is a random variable \( T \). Find the expected value and variance of the service time for televisions, given that the distribution function is:

$$
F(t)= \begin{cases}0 & \text{for } t \leqslant 0 \\ 1-e^{-v t} & \text{for } t > 0 \end{cases}
$$

(Exponential distribution of service time).

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