Chebyshev’s Inequality
1. Use Chebyshev’s Inequality to solve this problem. Show your work. A machine used to fill cereal boxes dispenses on average µ ounces per box. The manufacturer wants the actual amount dispensed, Y , to be within 1 ounce of µ at least %93 of the time. What is the largest value of σ, the standard deviation of Y , that can be tolerated if the manufacturer’s objectives are to be met? Note that you do not know the true distribution of Y.