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Number of Incoming Phone Calls at a Company Switchboard

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The number of incoming phone calls at a company switchboard during 1-minute intervals is believed to have a Poisson distribution. Use a=.10 and the following data to test the assumption that the incoming phone calls follow a Poisson distribution.

# of Incoming Phone Calls During a 1-min Interval Observed Frequency
0 15
1 31
2 20
3 15
4 13
5 4
6 2
Total 100

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Solution Preview

Given that, the number of incoming phone calls at a company switchboard during 1-minute intervals is believed to have a Poisson distribution.

Assumption: The incoming phone calls follow Poisson distribution

Mean=(∑fx)/N [where f is the observed frequency, x is the number of incoming phone calls during ...

Solution Summary

The number of incoming calls to a phone company's switchboard during 1-minute intervals is examined under a Poisson distribution. This Poisson distribution is analyzed in the solution.

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