QUESTION 6 [12 Marks] Let X be the number of defect bottles from an operation of manufacturing water bottles in a carton of 12 bottles. A total of 45 cartons are inspected and the number of defect bottles for cach carton are recorded in Table 2. Table 2 P Number of defects 0 2 Frequency 5 25 M 5 Probability 0.0270 0.1890 0.4410 0.3430 Find the value of M. BUT 12 Marks] AM ii) Can we conclude that the number of defect bottles recorded fit to the Binomial distribution at 0.5% significance level with " =3 and p=0.3? [10 Marks]