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

[dharavsolanki]

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 processing times are independent, approximate the probability that atleast 50 jobs can be sequentially processed within 240 hours.

Homework Equations

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.

 

[rootX]

Central Limit theorem looks appropriate using Gaussian distribution.

 

[dharavsolanki]

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?