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a) National Security Council has received three complaints on average due to the various violations of the standard operating procedures (SOPs) during the current movement

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a) National Security Council has received three complaints on average due to the various violations of the standard operating procedures (SOPs) during the current movement control order (MOO) per hour. By assuming that the number of complaints follows a Poisson distribution, nd the probability that i} no complaints will be received in the next hour. {2 marks) ii) not less than six complaints will be received in the next two hour. {2 marks) iii) at most ten complaints will be received in a certain day. {3 marks) c) Suppose that 10% of the customers did not receive their parcel within the expected delivery date from East.Com online store. By using an appropriate approximation, nd the probability that in a random sample of 80 parcels, not more than nine parcels did not receive their parcel within the expected delivery date. {3 marks}

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