Question

A statistics professor has a pond in his garden that contains frogs. Each day the professor likes to count how many frogs he can see there and has recorded the daily counts {y1, y2, . . . , yn} for a whole year (n = 365) in the data frame frogs.

Present a plot of the maximum likelihood values L( ??M, M) versus M for a suitable range of M values for the count data provided in frogs. Hence, estimate the total number of frogs living in the pond and the probability of appearance.

Data looks like this:

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