1 (Unit 6) - 12 marks Agricultural researchers were interested in investigating the size of litters of lambs on a farm. They collected data on three breeds of ewe giving birth to lambs on the farm. For each ewe, the number of lambs in her litter and the ewe's breed were recorded. The ewes were then classified according to breed (A, B or C) and litter size (0, 1, 2, and 3). The data are summarised and shown in Table 1. Table 1 Breed Litter size A B C Total 0 22 18 4 1 95 49 12 2 103 16 181 3 4 0 2 Total (a) Complete Table 1 by calculating the missing entries, and the column, row and overall totals. Include the completed table in your answer. [3] (b) In this question, use the completed table from part (a) and consider the situation where one ewe is selected at random from the dataset. Report all calculated probabilities rounded to four decimal places. (i) Calculate the probability that the selected ewe is of breed A. [2] (ii) Calculate the probability that the selected ewe gives birth to two lambs and is from breed B. [2]