01.a) If the colours of cars is given by the distribution shown in Table Q1a): Table Q1a) Colour Black Silver Blue Grey
Posted: Mon May 09, 2022 12:07 pm
01.a) If the colours of cars is given by the distribution shown in Table Q1a): Table Q1a) Colour Black Silver Blue Grey White Other % 20.1 17.6 17.1 15.2 13.5 16.5 i) it) What is the probability that 2 randomly selected cars will both be black? (2 marks) What is the probability that 3 randomly selected cars will consist of 2 blue cars and 1 grey car, in any order? (3 marks) What is the probability of exactly 3 silver cars occurring in a random selection of 12 cars? (4 marks) What is the probability of 3 black cars and 2 white cars occurring in a random selection of 8 cars? (5 marks) iv) Q1.b) If the mass of bags of cement from a particular manufacturer are normally distributed with a mean of 24.8kg, and a standard deviation of 0.06kg, what is the probability that the combined mass of 10 bags will be between 247.9kg and 248.2kg?