The table below represents the first few observations of the dataset summarized above:

Indicate which type of plot(s) would be most useful for each situation below and briefly justify your choice.

a) Visualizing the distribution of Room_Rate_per_Night

b) Visualizing the distribution of Loyalty_Member

c) Visualizing the relationship between Room_Rate_per_Night and Advance_Booking_Days

d) Visualizing the distribution of Total_Spending by customers who are/are not loyalty members. 

In 2025, each LuxuryStay hotel will allocate a fixed budget of €5,000 to fund its prize wheel promotion. Guests pay the fixed amount stated above to spin the wheel, but the hotel incurs a cost per spin based on the distribution of the monetary value of the prizes.

How many guests can participate in the promotion at each hotel before the allocated funds are exhausted? Show your calculations. 

Suppose the spa promotion runs for one year, with an estimated 10,000 guests. To achieve at least 4,000 future spa bookings during this period, what percentage of guests should receive the free spa trial?

Show all calculations, assuming that the probability of booking a future spa visit remains the same for guests who receive or do not receive the free spa trial.

The table below represents the first few observations of the dataset summarized above:

Indicate which type of plot(s) would be most useful for each situation below and briefly justify your choice.

a) Visualizing the distribution of Room_Rate_per_Night

b) Visualizing the distribution of Loyalty_Member

c) Visualizing the relationship between Room_Rate_per_Night and Advance_Booking_Days

d) Visualizing the distribution of Total_Spending by customers who are/are not loyalty members.