Quiz Answer Key and Fun Facts
1. Each day, in the little known principality of Fintruvia, the Duc L'Uckyk presents a special award to one randomly chosen citizen. The population is 150,000 and 15% of these hold the award. Assuming zero rates for births, deaths, emigration and immigration, for how many years (approximately) has the award been presented?
2. Martin the gecko is the official national lizard of Fintruvia. He measures 15cm from the tip of his snout to the tip of his tail. If the tail constitutes 15% of his total length, how long is the rest of his body?
3. Inspired by the movie "The King's Speech", the Duc L'Uckyk decides to address his citizens. His reading skills, however, are not all they might be. In a 15 minute speech, he makes 20 errors. If the speech had been 30 minutes long, he would have been 15% more likely to make mistakes. How many errors, statistically, should be expected from this longer version?
4. You wish to import a car from America to Fintruvia. The car has a list price of 15,000 dollars and you negotiate a 15% discount. Import duty is added and this is calculated at 15% of the list price. You are paying a 15% cash deposit and taking out a loan to cover the balance. If the exchange rate is 15 fintruvian troubles to the dollar, how much will you have to borrow?
5. The Statistician range of mountains contains the four highest peaks to be found in Fintruvia. Mount A is 15% taller than Mount B. Mount C is 15% shorter than Mount A. Mount D is 15% taller than Mount C. Which is Fintruvia's highest point?
6. Conservationists persuade you to spend 15 minutes filling in a donation form to help save the endangered Fintruvian googler. You pledge to give $15 in your first year of giving and increase this by 15% in each subsequent year. How much (rounding to the nearest cent) will you give in the fifteenth year?
7. The time has come for the Duc L'Uckyk to marry off his eldest son. There is a 3 in 4 chance that the couple will enjoy a happy marriage and a 1 in 5 chance that they will be married for more than 50 years. What is the probability that they will celebrate their golden wedding and have a happy marriage (assuming both are independent events)?
8. At the wedding of the Duc L'Uckyk's son, 15 buglers play a specially commissioned piece that lasts for 15 minutes. The buglers are positioned at 15 second intervals along the royal party's parade route; each begins playing as the royal coach passes them; and each plays the full 15 minutes of the piece. How long is the total performance, from when the first bugler begins to the moment that the last bugler finishes?
9. Soccer is the national sport of Fintruvia but, unfortunately, the national side lost their last game 15-0. It might have been more but for the heroics of a 15-year old goalkeeper who made 15 saves. The crowd was so disillusioned that, after every 15 minutes of play, 15% of those remaining left. If the crowd initially numbered 160,000, how many saw the fifteenth save in the 74th minute?
10. Rebellion is afoot in the principality of Fintruvia. The Duc L'Uckyk's evil brother, Count Me'Athead, seizes the throne whilst the Duc is on official business. Keen to avoid bloodshed, he offers the Duc an intriguing choice to determine who shall rule. The first option is a coin toss with 50:50 outcome. The alternative is that the Duc may save his throne if he can return to the palace within 15 minutes. He will not succeed if he can't get his car started (15% probability); it breaks down en route (15% probability); he gets caught in traffic (15% probability) or is apprehended by rebels (15% probability). Assuming that there are no other factors that will affect the outcome, which option, statistically, should the Duc choose?
Source: Author
glendathecat
This quiz was reviewed by FunTrivia editor
crisw before going online.
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