Cheesy Brothers is a company based in Sheboygan, WI that man…
Cheesy Brothers is a company based in Sheboygan, WI that manufactures cheese sticks. The COO has studied the historical performance of the firm, in terms of: how many cheese sticks does the manufacturing plant produce per day. The COO looked at 3 years of historical data, and was able to calculate the following: The expected number of cheese sticks produced per day = 25,000 sticks The variance of number of cheese sticks produced per day = 2,560,000 sticks squared The standard deviation of number of cheese sticks produced per day = 1,600 sticks Based on the vast amount of historical information used by the COO to calculate the above data > we can assume that the above data is “normalized” > meaning it follows a Normal Distribution. And based on the above information, the COO has created a Normal Distribution (or “Bell Curve”) diagram for the number of cheese sticks produced per day. Use the above information to answer the following two questions: 1) Using the “Empirical Rule” what is the probability that on a given day, the number of cheese sticks produced will be between 23,401 and 26,599? = [answer1] 2) If a customer needed a same day order > using the “Empirical Rule”, how many cheese sticks could the COO promise that customer the firm could deliver if he/she wanted to be 99.5% confident? = [answer2] 3) Using the “Empirical Rule” what is the probability that on a given day, the company will produce 23,400 cheese sticks or more? = [answer3]
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