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Caption: Princes Foods Corporation is going through their annual labor negotiation with their unionized employees. Bonnie and Liwei are doing their due diligence and would like to know how a strike at Princess Foods Corporation would negatively affect the number of cans of creamed peas produced per day if the workforce is not at full capacity. Bonnie: Let's think through the worst-case scenario: there's a strike and we don't have our normal workforce. What do we do? Liwei: Before or after I have a heart attack? Bonnie: Ha! Let's say you have a heart attack on Friday and recuperate over the weekend. You come into work on Monday and we've shifted to our contingency plan. Liwei: Okay, right. We would have management and other non-unionized employees in place to operate the machinery. Caption: Use the data below and apply the principles of normal distribution using the z formula in order to determine the probability of units produced per day at Princess Foods Corporation.
Assignment The average number of cans of creamed peas produced each day at the processing plant is 30,000 with a standard deviation of 3,200. Assuming a normal distribution, answer the following questions using the Z formula. show all works and provide explanations:
1. What is the probability of producing more than 36,000 cans per day?
2. What is the probability of producing between 25,000 and 38,000 cans per day?
3. What is the probability of producing between 32,000 and 34,000 cans per day?
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