The number of months during the 4-month monsoon season (June to September) in which the total rainfall

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The number of months during the 4-month monsoon season (June to September) in which the total rainfall was greater than 5 metres, R, has been recorded at a location in Meghalaya for the past 32 years, and is shown in the following table.


The distribution of R is to be modelled by R~B(4, p).

a. Find the value of p, and state clearly what this value represents.

b. Give a reason why, in real life, it is unlikely that a binomial distribution could be used to model these data accurately.

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