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There are n seats on an airplane and n passengers have bought tickets. Unfortunately, the first passenger to enter the plane has lost his ticket and, so he just chooses a seat at random and sits in it. Thereafter, each of the remaining passengers enters one at a time and either sits in their assigned seat if it is empty, or, if someone is sitting in their seat, chooses a seat at random from those that are empty.
a) If n=2, what is the probability that the last passenger to enter will end up sitting in her assigned seat?
b) If n=3, what is the probability that the last passenger to enter will end up sitting in her assigned seat?
c) For general n > 2, what is the probability that the last passenger to enter will end up sitting in her assigned seat? (We will need a proof here).
a) List down several measures of central tendency and define the difference among them? b) What do you mean by confidence interval, and why it is useful? What is a confidence lev
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