After a data set was partitioned using the split value of 45.5 for age. The age < 45.5 partition contains 22 patients with a diabetes diagnosis and 178 patients without a diabetes diagnosis, and the age ≥ 45.5 partition contains 48 patients with a diabetes diagnosis and 152 patients without a diabetes diagnosis. 

a. Compute the Gini impurity index for the root node. 

b. Compute the Gini impurity index for the age < 45.5 partition. 

c. Compute the Gini impurity index for the age ≥ 45.4 partition. 

d. Compute the Gini impurity index for the split. 

e. State the rules generated from this split.