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Math Help - probability of breakdowns

  1. #1
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    probability of breakdowns

    Assuming that number of breakdowns per hour follows a poisson distribution with mean ( λ) equal 0,4 answer the following:
    a) calculate the probability that the peeler does not have any breakdowns within an hour.
    b) calculate the probability that a maximum of 1 breakdown happens within 8 hours.
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  2. #2
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    Quote Originally Posted by Suchy View Post
    Assuming that number of breakdowns per hour follows a poisson distribution with mean ( λ) equal 0,4 answer the following:
    Is it safe to assume that 0,4 means 0.4?. Are you in one of those countries where they use a comma for a decimal point?.

    f(x;{\lambda})=\frac{{\lambda}^{x}e^{-\lambda}}{x!}

    a) calculate the probability that the peeler does not have any breakdowns within an hour.
    In the above formula, x=0. So, we have
    f(0;0.4)=\frac{{\lambda}^{0} e^{-0.4}}{0!}

    b) calculate the probability that a maximum of 1 breakdown happens within 8 hours.
    {\lambda}=(0.4)(8)=3.2

    f(\text{at most 1}; 3.2)=\frac{(3.2)^{0}e^{-3.2}}{0!}+\frac{(3.2)^{1}e^{-3.2}}{1!}
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