Mathematics AI: PROBABILITY Topical Past Paper Questions

[Maximum mark:26] This question considers whether it is reasonable to go on all the rides in a theme park and get back to the entrance in two and a half hours. Martin is visiting a theme park. He will enter the park at 09:00 and must leave the park by 11:30. He uses information a…

[Maximum mark: 19] A recent study found that the heights of Dutch women can be modelled by a normal distribution with mean 170.7 cm and standard deviation 6.3 cm. A Dutch woman is chosen at random. (a) Calculate the probability that her height is (i) less than 160 cm. (ii) betwee…

[Maximum mark: 17] The city of Melba has an adult population of four million people. It is assumed that the weights of adults in Melba can be modelled by a normal distribution with mean 72 kg and standard deviation 10 kg. (a) If 10 adults in Melba are chosen independently and at…