In a packet of 40 biscuits, the number of currants in each biscuit is as follows
Number of currants, \(x\)
0
1
2
3
4
5
6
Number of biscuits
4
9
11
8
4
3
1
Find the mean and variance of the random variable \(X\) representing the number of currants per biscuit.
State an appropriate model for the distribution of \(X\), giving two reasons for your answer.
Another machine produces biscuits with a mean of 1.9 currants per biscuit.
Determine which machine is more likely to produce a biscuit with at least two currants.