# Random Processes | Poisson or not? | Probability of doing n jobs in t hours

## Homework Statement

The number of hours that it takes to process a certain type of job is a random variable with mean and standard deviation 2. AAssuming that proccessing times are independent, approximate the probability that atleast 50 jobs can be sequentially processed within 240 hours.

## The Attempt at a Solution

How should I approach this question? Can we use Poisson process for this equation? Please justify this point. Thank you again.

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Central Limit theorem looks appropriate using Gaussian distribution.

Central Limit theorem looks appropriate using Gaussian distribution.
Here are my doubts:

* Central Limit Theorem will apply on multiple random variables.What are the multiple random variables here? Processing time for each job?
* "atleast 50 jobs can be sequentially processed within 240 hours"... so the time required for each job in the sequence will be a random variable. How will i figure 240 hours here in the calculation?