Mathematics 7357: Statistical Distributions Topical Past Paper Questions

In 2019, the lengths of new-born babies at a clinic can be modelled by a normal distribution with mean 50 cm and standard deviation 4 cm. (a) This normal distribution is represented in the diagram below. Label the values 50 and 54 on the horizontal axis. [2 marks] State the proba…

A council found that 70% of its new local businesses made a profit in their first year. The council introduced an incentive scheme for its residents to encourage the use of new local businesses. At the end of the scheme, a random sample of 25 new local businesses was selected and…

In a particular year, the height of a male athlete at the Summer Olympics has a mean 1.78 metres and standard deviation 0.23 metres. The heights of 95% of male athletes are between 1.33 metres and 2.22 metres. Comment on whether a normal distribution may be suitable to model the…