The daily demand for a certain medication in a country is given by a random variable \(X\) with mean value 28 packets per day and with a variance of 64 . The daily demands are independent of each other and distributed as \(X\).

(1) What amount of packets should be ordered for a year with 365 days so that the total annual demand does not exceed the supply with probability 0.99 ?

(2) Let \(X_{i}\) be the demand at day \(i=1,2, \ldots\), and

\[\bar{X}_{n}=\frac{1}{n} \sum_{i=1}^{n} X_{i}\]

Determine the smallest integer \(n=n_{\min }\) so that the probability of the occurrence of the event

\[\left|\bar{X}_{n}-28\right| \geq 0.02\]

does not exceed 0.05 .