(i) To complete the table, we use the given information:

• Total number of adults = 30
• Right-handed adults = 25
• Adults who wear spectacles = 8
• Right-handed and do not wear spectacles = 19

From this, we can fill in the table:

• Right-handed and wears spectacles = 25 - 19 = 6
• Not right-handed = 30 - 25 = 5
• Not right-handed and wears spectacles = 8 - 6 = 2
• Not right-handed and does not wear spectacles = 5 - 2 = 3

The completed table is:

(ii) To determine if events X and Y are independent, we check if:

\(P(X \cap Y) = P(X) \times P(Y)\)

Calculate the probabilities:

• \(P(X) = \frac{25}{30}\)
• \(P(Y) = \frac{8}{30}\)
• \(P(X \cap Y) = \frac{6}{30}\)

Check independence:

\(P(X) \times P(Y) = \frac{25}{30} \times \frac{8}{30} = \frac{200}{900} = \frac{2}{9}\)

\(P(X \cap Y) = \frac{6}{30} = \frac{1}{5}\)

Since \(P(X \cap Y) \neq P(X) \times P(Y)\), events X and Y are not independent.