Explain what you understand by the sampling distribution of a statistic. (1) At Sam's cafe a standard breakfast consists of 6 breakfast items. Customers can then choose to upgrade to a medium breakfast by adding 1 extra breakfast item or they can upgrade to a large breakfast by adding 2 extra breakfast items. Standard, medium and large breakfasts are sold in the ratio $$\(6: 3: 2\)$$ respectively. A random sample of 2 customers is taken from customers who have bought a breakfast from Sam's cafe on a particular day. (b) Find the sampling distribution for the total number, $$\(T\)$$, of breakfast items bought by these 2 customers. Show your working clearly. (7) (c) Find $$\(\mathrm{E}(T)\)$$ (2)

Answer:

Knowledge points:

Solution: