partto). will probably 39 70, the sample standard deviation lies within the confidence interval". Also, give a correct interpretation [6 marks] Question 6 [12 marks] You and your friend decide to conduct a wildlife survey. At midday on a particular day you will count the number of ladybirds N, in your garden, which has area 10m, and your friend will count the number of ladybirds N2 in their garden of area 20m2. Assuming that the number of ladybirds has a constant rate 1 per m and follows a Poisson distribution, and the observations from the two gardens are independent, you want to estimate 1 a. What is the distribution of MJ, the distribution of N2, and the expectations of the two distributions? Derive the Least Squares Estimator of 1 [5 marks] b. You may assume that the distributions of -1 and -2 are Poisson(2). What is the expectation of the random variable Y = 1+ -2? Hence derive the Method of Moments Estimates of 21 10 20 [2 marks] C. Derive the Maximum Likelihood Estimator of 1 [5 marks]