(C) 5. For this question please do not round off the numerical values of your intermediate Steps when you do your calculations. Round off your answers only at the end. Childbed fever is a fatal illness that occurs among new born babies and their mothers. 'William was investigating the prevalence of childbed fever among mothers (together with their new born babies) who were admitted to The General HOSpital of City H. These cases of delivery of new born babies had been classied according to three dierent criteria: I whether they had been admitted to the First Division or the Second Division of the hospital 0 whether they had contracted childbed fever 0 whether the babies were delivered in the hospital wards or on the way to the hospital (the so-called \"street births\") Table 1 below summarises the number of delivery cases in each of these categories. Table 1: Number of Delivery of Nev. Born Babies under Studies Contraction of First Divsion || Total Childbed Street Not. Street Not. Fever ---l I_I_\"I- _-III _III- (2 marks) Kevin, on the other hand, would like to quantify with some level of certainty pop, the proportion of cases (among all cases under consideration) who had contracted childbed fever. At least how many more students would be needed if Kevin was to estimate pop to be within 0.0075 of its true value with a probability of 0.95? You may assume that the true pop is equal to Kevin's estimate based on the collected data. (2 marks) Two cases, one after another without replacement, were chosen randomly from the above sample of 5000 cases. What is the probability that at least one of them have contracted childbed fever or both were admitted to the First Division