Mathematics: PROBABILITY Topical Past Paper Questions

Fiona walks from her house to a bus stop where she gets a bus to school. Her time, W minutes, to walk to the bus stop is normally distributed with $ W \sim \mathrm{N}(12, 3^{2}) $. Fiona always leaves her house at 07:15. The first bus that she can get departs at 07:30. (a) Find t…

[Maximum mark: 15] SpeedWay airline flies from city A to city B. The flight time is normally distributed with a mean of 260 minutes and a standard deviation of 15 minutes. A flight is considered late if it takes longer than 275 minutes. (a) Calculate the probability a flight is n…

A nationwide study on reaction time is conducted on participants in two age groups. The participants in Group X are less than 40 years old. Their reaction times are normally distributed with mean 0.489 seconds and standard deviation 0.07 seconds. (a) A person is selected at rando…