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4 February, 20:17

Customers arrat a service window according to a poisson process with an average of 0.2 per minute.

A) What is the probability that the time between two successive arrivals is less than 6 minutes?

B) What is the probability that there will be exactly three arrivals during a given 10-minute period?

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  1. 4 February, 22:13
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    Step-by-step explanation:

    Given that customers arrat a service window according to a poisson process with an average of 0.2 per minute

    = 12 per hour.

    a) the probability that the time between two successive arrivals is less than 6 minutes

    = For one hour more than 60/6 = 10 customers arrive.

    P (X>10) = 0.6528

    b) Prob that there will be exactly three arrivals during a given 10-minute period

    P (x=3) for average 2

    = 0.1804
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