Records show that the average number of job applications received per week is 5.9. Find the probability of 6 job applications received in a

Question

Records show that the average number of job applications received per week is 5.9. Find the probability of 6 job applications received in a given week.

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Jasmine 4 days 2021-10-10T05:37:16+00:00 1 Answer 0

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    2021-10-10T05:38:18+00:00

    Answer:

    16.05% probability of 6 job applications received in a given week.

    Step-by-step explanation:

    When you have the mean during an interval, you should use the Poisson distribution.

    In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

    P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

    In which

    x is the number of sucesses

    e = 2.71828 is the Euler number

    \mu is the mean in the given interval.

    Records show that the average number of job applications received per week is 5.9.

    This means that \mu = 5.9

    Find the probability of 6 job applications received in a given week.

    This is P(X = 6).

    P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

    P(X = 6) = \frac{e^{-5.9}*(5.9)^{6}}{(6)!} = 0.1605

    16.05% probability of 6 job applications received in a given week.

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