Explain what a Hamiltonian Path is for any graph. Consider the graph shown here. Carefully identify and draw any Hamiltonian Path for this graph. (If you choose not to use my graph, then draw a very LARGE graph on your paper.)  Also, give a brief real‐world example of where a Path may be important or used.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?