What is the probability that exactly 4 snow blowers

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Case Study: A manufacturer from Utica produces commercial snow blowers, called "Yukon", sold as the top-rated model by the industry. Only a flawless perfect snow blower will be sold as a "Yukon". Due to the company's inspection standard, its production site finds a snow blower has a 65% probability to be perfect for being badged as a "Yukon" and a 35% probability to be defective. The perfect "Yukon" snow blowers are highly praised by the industry testing groups and sold with a unit profit of $1,900 per snow blower. A defective snow blower is initially inspected and later repaired to be sold as a "Refurbished" snow blower with a unit profit of $1,000 per snow blower. In December 2022, a batch of 9 snow blowers from this production line is collected.

(Question B-1) What is the probability that exactly 4 snow blowers from this December 2022 batch are defective and later sold as "Refurbished" snow blowers?

(Question B-2) What is the probability that there are more "Yukon" snow blowers than "Refurbished" snowblowers from this December 2022 batch?

(Question B-3) What is the probability that this December 2022 batch can bring in a total profit of more than $15,000?

 

Reference no: EM133344914

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