(i) To find the probability that the jar is small, we calculate the probability of a jar being small for both Café Premium and Café Standard and sum them:

\(P(S) = 0.65 \times 0.6 + 0.35 \times 0.75\)

\(= 0.39 + 0.2625 = 0.6525\)

Therefore, the probability that the jar is small is approximately 0.653.

(ii) To find the probability that the jar is Café Standard given that it is large, we use conditional probability:

\(P(\text{Std} \mid L) = \frac{P(\text{Std} \cap L)}{P(L)}\)

Where:

\(P(\text{Std} \cap L) = 0.35 \times 0.25 = 0.0875\)

And:

\(P(L) = 1 - P(S) = 1 - 0.6525 = 0.3475\)

Thus:

\(P(\text{Std} \mid L) = \frac{0.0875}{0.3475} \approx 0.252\)

Therefore, the probability that the jar is Café Standard given that it is large is approximately 0.252.