6. An airline data shows that the weight of baggage of passenger is normally distributed. It is found that the mean weight of baggage (u) is 12kg and the standard deviation (o) is 2.5kg. a) Find the probability that the weight of baggage is more than 16kg. (5 marks) b) The airline company set a new policy that top 15% baggage weight is required for extra charge. Determine the weight of baggage that is required for extra charge. (4 marks) c) If a sample of 15 baggage is chosen at random, find the probability that at least one would has weight more than 16kg. (Hints: Use Binomial to solve it) (6 marks)

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