Population of potential customers for system

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a) A coin is tossed twice. Calculate the probability of each of the following occurring, commenting briefly on the basis of your calculation:

A head on the first toss;

A tail on the second toss, given that the first toss was a head;

Two tails;

A tail on the first toss and a head on the second;

A tail on the first and a head on the second, or a head on the first and a tail on the second;

At least one head on the two tosses.

Do you think the Poisson distribution, which assumes independent arrivals, is a good estimation of arrival rates in the following queuing systems? Explain your reasoning in each case:

University cafeteria or coffee bar;

Hairdresser's shop;

Hardware store;

Dentist's surgery;

University lecture;

Movie cinema.

Why is a different queuing model needed if the population of potential customers for a system is limited rather than unlimited? Use examples of real or hypothetical systems to illustrate your answer.

Reference no: EM132076258

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