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

  1. Apr 24, 2010 #1
    1. The problem statement, all variables and given/known data
    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.

    2. Relevant equations

    3. 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.
  2. jcsd
  3. Apr 24, 2010 #2
    Central Limit theorem looks appropriate using Gaussian distribution.
  4. Apr 24, 2010 #3
    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?
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