5.3 The Mendel experiment of Table 1.1 can be described as n number n of measurements of ni, the number of plants that display the dominant character, out of a total of Ni plants. The experiment is described by a binomial distribution with probability p D 0:75 for the plant to display the dominant character.

Using the properties of the binomial distribution, show analytically that the weighted average of the measurements of the fraction fi D ni=Ni is equal to the value calculated directly as

 D Pn iD1 ni Pni D1 Ni