A machine used to fill cereal boxes dispenses, on the average, μ ounces per box. The manufacturer wants the actual ounces dispensed Y to be within 1.1 ounce of μ at least 75% 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?

Answer: 1/2Step-by-step explanation:First step: we will use Tchebyscheff's theorem. The theorem can help us to explain random variables with finite variance as well as mean. P (|Y-u| < or equals to 1) | > or equals to 0.75= 1 - 1/2Therefore, w= 2 Step 2: we use Tchebyscheff's inequality, which is: = -2¶ + u < y < 2¶ + uTherefore, we have; --2¶ + u= 1 + u1= K¶ ¶ = 1/2.Please take note that ¶ is represented as sigma symbol. Since I can't get the symbol here with me. Also the u repres represent 'micro' symbol