An urn contains n m balls, of which n are red and m are black. They are withdrawn from the urn, one at a time and without replacement. Let x be the number of red balls removed before the first black ball is chosen. We are interested in determining e[x]. To obtain this quantity, number the red balls from 1 to n. Now define the random variables xi , i

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?