Helen believes that the random variable \(C\), representing cloud cover from the large data set, can be modelled by a discrete uniform distribution.
Write down the probability distribution for \(C\).
Using this model, find the probability that cloud cover is less than 50\%
Helen used all the data from the large data set for Hurn in 2015 and found that the proportion of days with cloud cover of less than \(50 \%\) was 0.315
Comment on the suitability of Helen's model in the light of this information.
Suggest an appropriate refinement to Helen’s model.