A machine manufactures balls intended for a game of chance.
The mass in grams of each of these balls can be modeled by a random variable $M$ following a normal distribution with mean 52 and standard deviation $\sigma$.
Balls whose mass is between 51 and 53 grams are said to be compliant.

\begin{enumerate}
  \item With the initial settings of the machine we have $\sigma = 0.437$. Under these conditions, calculate the probability that a ball manufactured by this machine is compliant. An approximate value to $10 ^ { - 1 }$ near the result will be given.
  \item It is considered that the machine is correctly adjusted if at least $99 \%$ of the balls it manufactures are compliant. Determine an approximate value of the largest value of $\sigma$ that allows us to affirm that the machine is correctly adjusted.
\end{enumerate}