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What is the probability that exactly 2 laptops

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A laptop manufacturer from central New York produces high-performance gaming laptops, called "Speed King", sold nation-wide as the top-rated gaming laptops. Only a flawless perfect laptop will be sold as "Speed King". Due to its highly strict inspection standard, its production site finds a laptop to have a 75% probability to be perfect for being badged as a "Speed King" and a 25% probability to be defective. The perfect "Speed King" laptops are highly praised by video gamers and sold with a unit profit of $1,900 per laptop. A defective laptop is initially inspected and later repaired to be sold as a "Refurbished" laptop with a unit profit of $790 per laptop. In April 2021, a batch of 10 laptops from this production line is collected.

Question 1 What is the probability that exactly 2 laptops from this April 2021 batch are defective and later sold as "Refurbished" laptops?

Question 2 What is the probability that there are more "Speed King" laptops than "Refurbished" laptops from this April 2021 batch?

Question 3 What is the probability that this April 2021 batch can bring in a total profit of more than $15,000?

Reference no: EM132921551

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