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2.4.13 Model with probability distributions

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Question 50
a.

State the conditions under which a Poisson distribution can be used as a suitable approximation for a Binomial distribution.

[1]
b.

A network engineer claims that the probability of a data packet being corrupted during transmission over a specific fiber optic relay is 0.0008. A technician suspects that due to hardware degradation, the true probability of corruption is actually higher than 0.0008.

Define suitable null and alternative hypotheses to test the technician’s suspicion.

[1]
c.

A random sample of 5000 data packets is monitored, and 9 are found to be corrupted.

Using a suitable approximation, test at the 5% level of significance whether there is sufficient evidence to support the technician's suspicion.

[5]

2.4.13 Model with probability distributions Questions

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