Suppose that a random sample of n observations is taken from a Poisson distribution for which the value of the mean θ is unknown (θ > 0), and the value of β = e−θ must be estimated by using the squared error loss function. Since β is equal to the probability that an observation from this Poisson distribution will have the value 0, a natural estimator of β is the proportion of observations in the random sample that have the value 0. Explain why ˆ β is an inadmissible estimator of β.