Answer to Question #105417 in Algorithms for Kandy Hamisi

Question

How can i find the expected number of times inhabitants of a town are happy with their meals assuming meal quality is distributed uniformly across a person's life. The inhabitants have the reputation of enjoying a meal if that meal is the best they have ever experienced in their lives otherwise they hate it....Help me find the expected number of time the inhabitants of this town are happy with their meals.

Answer 1

The easiest way is to take $N$ inhabitants. Ask each of them (to distinguish them, we will assign a number $j=1,2,...,m$ to every individual) about how they like the food across their life. Every day with number $i=1, 2, ...,k$ count the number of times $n_i$ each inhabitant was happy with his meals. Calculate the sum $S^j=\Sigma n_i^{j}$ for each individual - a lifetime number of times people liked their meals. After the experiment ends, find the total number of "like" times $L=\Sigma S^j$ and divide it by$N.$ This will be the average number of times inhabitants were happy with their meals across a person's life.