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21 September, 14:55

Maureen's job is to provide technical support to computer users. Suppose the arrival of calls can be modeled by a Poisson distribution with a mean of 5.4 calls per hour. What's the probability that in the next 20 minutes there will be 2 or more calls

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  1. 21 September, 17:19
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    Step-by-step explanation:

    We would convert 20 minutes to hour.

    60 minutes = 1 hour

    20 minutes = 20/60 = 1/3 hour

    Let x represent the number of calls received in 20 minutes or 1/3 hour

    If the mean number of calls per hour is 5.4, then the number of calls received in 20 minutes is

    5.4 * 1/3 = 1.8

    The probability that there will be 2 or more calls is expressed as P (x ≥ 2)

    From the Poisson distribution calculator,

    P (x ≥ 2) = 0.54
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