Sunday, April 3, 2011

Sunday April 3, 2011

  •  The above graph  (taken from a Forex Blog) shows the trend of CAD/USD loonie over last  5 years. Any conclusions can you draw?
  • This is year of India in Canada. Indian Government decided to take up a survey to see how are Indian's performing outside India. They needed to compare Indians living in `similar' type of countries - for example US, Canada, UK and Australia. What should be a good hypothesis to test? What kind of primary/secondary data can be used? What kind of conclusions can be drawn? Is there any point of doing this kind of study?
  • Mr. Ad. needs to form a team of 30 players who will participate in several of summer sports (sort of mini summer olympics) where the sports include running, field hockey, tennis, soccer, jumping, swimming, etc. What selection criteria should he use (name at least 5).  Design some hypothesis to test whether the selection criteria leads to medals. What kind of data primary or secondary can be used to verify his hypothesis.
  • Here is a chart showing  (taken from here) Speed v/s Safe stopping distance in icy v/s normal conditions. Why do you think its not a straight line curve?
  • This web-site lists some of the super cars, their price and the time (in seconds) it takes them to reach the speed of 100Km/hr.  For example, 2005 Ferrari FXX reaches that speed in 2.5 secs, and it costs $1.5 million.  What kind of plot do you expect in terms of price v/s time it takes to attain 100Km/hr. (For example my car takes 7.4 secs - though I never tried that).
  • What kind of distance-time graph you will expect when you hit a Home run in Baseball - the launch of a satellite - a train entering a station to stop - tiger chasing its kill - in general a typical commute from home to office  (In distance time graph, you will plot the distance of the ball (or an object) from its original position as time increases).
  • How many odd 1-digit, 2-digit, 3-digit, 7-digit numbers can be formed using the digits 1,2,3,4,5,6,7, if each number consists of distinct digits (e.g. 223 is not valid!).
  • This one is based on Zero Knowledge Proofs - its an interesting  concept.  See wikipedia entry on this (this picture is from there) Idea is pretty simple. Both of these persons don't trust each other. Person standing outside the cave (call him Bob), needs to know the number-key of  the door which is at the far end of the cave. Person standing in the cave (call her Alice) claims that she knows the number key, and is willing to give that key for $100. Bob, can gamble, and pay Alice $100, and hope that she is telling the truth. But she may not!  How can Alice convince Bob that she knows the key, without revealing the key, especially before Bob pays her $100! This kind of technique is used, for example the password you have on your bank card.

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