3.8 For Mendel’s experimental data in Table 1.1 at page 9, consider the overall fraction of plants that display the dominant character, for all seven experiments combined.

(a) Determine the parent distribution of the overall fraction X of plants with dominant character and its expected value.

(b) Determine the sample mean of the fraction X;

(c) Using the parent variance of X, determine the value z D x  EOEX



which is the standardized difference between the measurement and the mean.

Assuming that the binomial distribution can be approximated by a Gaussian of same mean and variance, calculate the probability of having a value of z equal or smaller (in absolute value) to the measured value.