5 Eggs are sold in boxes of 20. Cracked eggs occur independently and the mean number of cracked eggs in a box is 1.4 .
- Calculate the probability that a randomly chosen box contains exactly 2 cracked eggs.
- Calculate the probability that a randomly chosen box contains at least 1 cracked egg.
- A shop sells \(n\) of these boxes of eggs. Find the smallest value of \(n\) such that the probability of there being at least 1 cracked egg in each box sold is less than 0.01 .