Monographs, 1971: 129152) presents the accompanyingdata on the variable the number of

Chapter 14, Problem 12

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Monographs, 1971: 129152) presents the accompanyingdata on the variable the number of hops before the firstflight and preceded by a flight. The author then proposed andfit a geometric probability distributionfor , where to the data.The total sample size was .x 1 2 3 4 5 6 7 8 9 10 11 12Numberof Times x 48 31 20 9 6 5 4 2 1 1 2 1Observeda. The likelihood is. Show that the mle of p is given by, and compute for the given data.b. Estimate the expected cell counts using of part (a)[ for ],and test the fit of the model using a x2 test by combining thecounts for , and 12 into one cell .

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