6 The probability that an online order from a supermarket chain has at least one item missing when delivered is 0.06 . Online orders are 'incomplete' if they contain substitute items and/or have at least one item missing when delivered. The probability that an order is incomplete is 0.15 .

1. Calculate the probability that exactly 2 out of a random sample of 26 online orders have at least one item missing when delivered.
2. Determine the probability that the number of incomplete orders in a random sample of 50 online orders is:
   1. fewer than 10 ;
   2. more than 5;
   3. more than 6 but fewer than 12 .
3. Farokh, the manager of one of the supermarket's stores, examines 50 randomly selected online orders from each of a random sample of 100 of the store's customers. He records, for each of the 50 orders, the number, \(x\), that were incomplete. His summarised results, correct to three significant figures, for the 100 customers selected are $$\bar { x } = 4.33 \text { and } s ^ { 2 } = 3.94$$ Use this information to compare the performance of the store managed by Farokh with that of the supermarket chain as a whole.
   [0pt] [5 marks]