5 Fiona uses her calculator to produce 12 random integers between 7 and 21 inclusive. The random variable \(X\) is the number of these 12 integers which are multiples of 5 .
- State the distribution of \(X\) and give its parameters.
- Calculate the probability that \(X\) is between 3 and 5 inclusive.
Fiona now produces \(n\) random integers between 7 and 21 inclusive.
- Find the least possible value of \(n\) if the probability that none of these integers is a multiple of 5 is less than 0.01.