To find the probability distribution of L, we consider all possible combinations of drawing 3 balls from the set {1, 2, 3, 4, 5} and determine the largest number in each combination.

The possible values for L are 3, 4, and 5. The probabilities are calculated as follows:

For the expectation, we use the formula:

\(E(L) = \sum l \cdot P(L = l) = 3 \times 0.1 + 4 \times 0.3 + 5 \times 0.6 = 4.5\)

For the variance, we use the formula:

\(\text{Var}(L) = \sum l^2 \cdot P(L = l) - (E(L))^2 = 3^2 \times 0.1 + 4^2 \times 0.3 + 5^2 \times 0.6 - 4.5^2 = 0.45\)