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Based on historical data, the number of people looking to buy a house seems to follow a different distribution than the number of people looking
Based on historical data, the number of people looking to buy a house seems to follow a different distribution than the number of people looking to rent a house. Blue Horizon estimates that the number of monthly home buyers follows a continuous uniform distribution with a minimum value of 110 buyers and a maximum of 175 buyers. Currently, Blue Horizon only has 150 houses available for sale, which might not be enough to fulfill the demand from home buyers for next month. Cynthia suggests looking for new home sellers to increase the number of houses available for sale to 160. Thanks to Cynthia's efforts, Blue Horizon was able to attract new home sellers to use their real estate services. Now, Cynthia just needs to increase the number of houses sold. To achieve this, she proposes paying a special bonus to real estate agents based on the total number of houses that Blue Horizon sells monthly. Each month, each real estate agent will get $5 for every house sold by Blue Horizon. However, the board of directors thinks the long-run cost of this bonus could place substantial financial burdens on the company. What's
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