9. A recent finding shows that the probability of giving birth to a girl is 0.57. Correct your answers to 4 decimal plac

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9. A recent finding shows that the probability of giving birth to a girl is 0.57. Correct your answers to 4 decimal places. (a) A couple plan to have 2 children. Find the probability that both of the 2 children are boys? ( 2 marks) (b) Another couple plan to have 3 children. Find the probability that at least one of them is a gril? (3 marks) 10. A box contains 20 balls of different colours: 12 white, 5 yellow and 3 red. (a) If two balls are randomly selected from the box without replacement, what is the probability of getting two yellow balls? (2 marks) (b) If two balls are randomly selected from the box with replacement, what is the probability of getting two balls of the same colours? (3 marks)
14. Visitors of a theme park comprise local people (L) and overseas tourists (O). Records of the first 30 visitors coming to the park on a given day are provided: The CEO of the park wants to know the extent of satisfaction of visitors towards the park's facilities by using the following two methods. Method I: 6 visitors are chosen randomly. Method II: 6 visitors are chosen randomly and proportionally from the two groups of visitors separately. (a) If Method I is used, (i) identify the sampling method. (1 mark) (ii) write down the sequence numbers of visitors being chosen by using the below random number table with the starting point row 1 column 4. (6 marks) (b) If Method II is used, (i) how many local visitors and overseas visitors should be chosen respectively? (2 marks) (ii) write down the sequence numbers of the visitors being chosen by using the below random number table with the starting point row 1 column 3 . (6 marks)
11. The stock prices of Company A at the end of years 2016 to 2021 are presented in the following line graph. (a) By using year 2016 as the base period, calculate the simple price indexes for years 2016 to 2021 . (3 marks) (b) By what percentage did the prices of stock decrease between years 2018 and 2021? (2 marks) 12. A product is made up of ingredicnts X,Y and Z. Their monthly costs are shown in the following table. Calculate the simple composite index of ingredient costs by choosing June as the base period. (5 marks)