Answer Happy

1 The number of hazardous atmospheric dust particles around construction sites (that may cause serious environmental problems) is modeled by a Poisson distribution. To estimate the unknown parameter of that distribution in a unit volume, such as a small glass tube, one takes a sample 2,...,n of n small glass tubes in n different places of the construction site. Assuming that o= x + ... + > 0, (i) give the likelihood function of the sample; (ii) find the mle, and MLE of X. Explain all your steps. (26 pts)