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Math Help - [SOLVED] Poisson Data on shifts

  1. #1
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    [SOLVED] Poisson Data on shifts

    Hey i've got this poisson question that i'm not sure how to answer:


    A bottling factory finds that the number of breakdowns on its automated production line averages 1.7 per eight hour shift. This is constant for all three shifts.

    a) What is the probability of exactly two breakdowns during the night shift?
    b) What is the probability of less than four breakdowns during the afternoon shift?
    c) What is the probability of no breakdowns during three consecutive shifts?

    P (r) = e –m.mr

    r!


    I have calculated for two breakdowns which i put as P(2) = 1.01818 x 2.89/2 = 1.4714.


    [FONT=Times New Roman][SIZE=3]However i'm slightly unsure about this type of question, i'd really appreciate some advice thank you
    Last edited by phabreel; January 15th 2009 at 09:34 AM.
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  2. #2
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    Quote Originally Posted by phabreel View Post
    Hey i've got this poisson question that i'm not sure how to answer:


    A bottling factory finds that the number of breakdowns on its automated production line averages 1.7 per eight hour shift. This is constant for all three shifts.

    a) What is the probability of exactly two breakdowns during the night shift?
    b) What is the probability of less than four breakdowns during the afternoon shift?
    c) What is the probability of no breakdowns during three consecutive shifts?


    [snip]
    I have calculated for two breakdowns which i put as P(2) = 1.01818 x 2.89/2 = 1.4714.


    [font=Times New Roman][size=3]However i'm slightly unsure about this type of question, i'd really appreciate some advice thank you
    (a) Substitute m = 1.7 and r = 2 into the formula.

    (b) Substitute m = 1.7 into the formula. Find Pr(r = 0) + Pr(r = 1) + Pr(r = 2) + Pr(r = 3) (use the formula).

    (c) Substitute m = 3(1.7) = 5.1 into the formula and calculate Pr(r = 0).
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    Thanks for the reply
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