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Problem 23. The number of phone calls received by a ticket agency on any one day is Poisson distributed. On an ordinary day, the

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Problem 23. The number of phone calls received by a ticket agency on any one day is Poisson distributed. On an ordinary day, the expected value of the number of calls is Ao, and on a day where there is a popular show in town, the expected value of the number of calls is A1, with A > Ao. Describe the LRT for deciding whether there is a popular show in town based on the number of calls received. Assume a given probability of false rejection, and find an expression for the critical value . Problem 23. The number of phone calls received by a ticket agency on any one day is Poisson distributed. On an ordinary day, the expected value of the number of calls is Ao, and on a day where there is a popular show in town, the expected value of the number of calls is A1, with A > Ao. Describe the LRT for deciding whether there is a popular show in town based on the number of calls received. Assume a given probability of false rejection, and find an expression for the critical value .

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