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Question

A manufacturing concern employing a large number of workers finds that, over a period of time, the average absentee rate is 2 workers per shift. The probability that exactly 2 workers will be absent in a chosen shift at random is

A
e2222!
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B
e2233!
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C
e2
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D
e3
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Solution

The correct option is A e2222!
By using Poisson distribution,
P(x;μ)=eμμxx!
μ: The mean number of successes that occur in a specified region(parameter)
x: The actual number of successes that occur in a specified region.
P(x; μ): The Poisson probability that exactly x successes occur in a Poisson experiment, when the mean number of successes is μ
Here,μ = 2
x = 2 (exact 2 workers)
P(2;2)=e2222!

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