For ne N, let, be the observations of n independent identically distributed random variables X X,...

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For ne N, let, be the observations of n independent identically distributed random variables X₁ X, taking values in (0, 1). Suppose the probability [0:1] of {X₁ = 1} is unknown. Specify a suitable statistical model for this situation and determine the maximum likelihood estimator of the model parameter. For ne N, let, be the observations of n independent identically distributed random variables X₁ X, taking values in (0, 1). Suppose the probability [0:1] of {X₁ = 1} is unknown. Specify a suitable statistical model for this situation and determine the maximum likelihood estimator of the model parameter.