After six weeks, 24 seedlings, which had been planted at the same time, reach the random heights \(X_{1}, X_{2}, \ldots, X_{24}\), which are independent, identically exponentially distributed as \(X\) with mean value \(\mu=32 \mathrm{~cm}\).

Based on the Gauss inequalities, determine

(1) an upper bound for the probability that the arithmetic mean

\[\bar{X}_{24}=\frac{1}{24} \sum_{i=1}^{24} X_{i}\]

differs from \(\mu\) by more than \(0.06 \mathrm{~cm}\),

(2) a lower bound for the probability that the deviation of \(\bar{X}_{24}\) from \(\mu\) does not exceed \(0.06 \mathrm{~cm}\).