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Probability Question

  1. Jan 25, 2014 #1
    I am given this probability table:

    x 0 1 2 3 4
    P(X=x) 0.8 0.1 0.05 0.03 0.02

    X is the amount of faulty products produced in a day.

    I am being asked to find the probability of a exactly one product being foulty in a 5 day periode.

    I am a bit confused. I know from the table that the probability of exactly one faulty product in 1 day is 0.1.
    But for 5 days, is it that ease just to multiply 0.1 by 5? Or is it 0,1^5?
     
  2. jcsd
  3. Jan 25, 2014 #2

    Dick

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    No, it's not that simple. One of the days has to have a single faulty product. The other four days have to have no faulty products.
     
  4. Jan 25, 2014 #3
    Ok, thank you for your answer, so then 0.1*(4*0.8)?
     
  5. Jan 25, 2014 #4

    Dick

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    No, the probability of something with probability 0.8 happening on 4 days isn't (4*0.8). That's bigger than 1! This an example of a binomial distribution problem. Don't you have a lesson on that?
     
  6. Jan 25, 2014 #5
    Thanks again for the answer. It turns out there is a scheduling conflict at the uni and we are not supposed to cover that topic until next week, however the assignment is due Monday.
    I managed to solve this though.
    Thanks for your help! :)
     
  7. Jan 25, 2014 #6

    Dick

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    Good work. I was wondering why you seemed to be missing a lot of the basics to tackle this problem.
     
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