Q1.a) A car dealership has 120 cars on display. The distribution of the colours of these cars is shown in Table Q1a): Ta

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Q1 A A Car Dealership Has 120 Cars On Display The Distribution Of The Colours Of These Cars Is Shown In Table Q1a Ta 1 (44.16 KiB) Viewed 44 times

Q1.a) A car dealership has 120 cars on display. The distribution of the colours of these cars is shown in Table Q1a): Table Q1a) i) ii) iii) iv) Colour Black Silver Blue Grey White Other Number 24 21 21 18 16 20 What is the probability that a randomly selected car will be either black, silver or blue? (2 marks) What is the probability of randomly selecting two different cars which are both silver? (2 marks) What is the probability that a random selection of 3 cars will consist of 2 grey cars and 1 white car, in any order? (3 marks) If 30% of the cars in the Other category are red, what is the probability of not picking a red car in a random selection of 6 cars? (3 marks) v) What is the probability of 3 black cars and 1 silver car occurring in a random selection of 6 cars? (4 marks) Q1.b) If the mass of bags of cement from a particular manufacturer are normally distributed with a mean of 24.9kg, and a standard deviation of 0.05kg, what is the probability that the combined mass of 12 bags will be between 298.6kg and 299.1kg? (11 marks)