A small hotel in central London has 8 rooms. Based on data collected over the last ve years, it was estimated that the probability a room is occupied on any particular \"weekend\" night (Saturday and Sunday) is 0.8. This is the probability of success. On any particular \"weekend\" night, a hotel is only occupied (Success) or not occupied (Failure). There are no other possibilities. The occupancy rate on any particular night during a weekday (Monday to Friday) is assumed to be 50%, Le. a room has a probability of 0.5 to be occupied during any weekday. Required: a) What is the probability that at least half of the hotel is occupied on any weekend night? You need to show the table of values for your calculations. b) One Wednesday during a certain week, 2 out of the 8 rooms were occupied. What is the pvalue? You need to show the table of values for your calculations. Note: Show all your calculations in well laid-out Excel spreadsheet tables with clear headings and include formulas. Give your answers correct to 3 decimal places