1 It is known that \(1.2 \%\) of rods made by a certain machine are bent. The random variable \(X\) denotes the number of bent rods in a random sample of 400 rods.
- State the distribution of \(X\).
- State, with a reason, a suitable approximate distribution for \(X\).
- Use your approximate distribution to find the probability that the sample will include more than 2 bent rods.