Find out the probability, Applied Statistics

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).

 

Posted Date: 3/30/2013 5:27:00 AM | Location : United States







Related Discussions:- Find out the probability, Assignment Help, Ask Question on Find out the probability, Get Answer, Expert's Help, Find out the probability Discussions

Write discussion on Find out the probability
Your posts are moderated
Related Questions
Education seems to be a very difficult field in which to use quality methods. One possible outcome measures for colleges is the graduation rate (the percentage of the students matr

A country''s national accounts are assumed to look as follows: GDP 1180 VAT and taxes 140 Commodity subsidies 60 Raw material and consumables 530 1. Calculate GVA 2. Calculate t

Assumptions in Regression To understand the properties underlying the regression line, let us go back to the example of model exam and main exam. Now we can find an estimate o

what are the challenges affecting population census in developing countries

Use only the rare event rule, and make subjective estimates to determine whether events are likely. For example, if the claim is that a coin favors heads and sample results consis

The quick method for a confidence interval for a proportion uses as an approximation for a 95% confidence interval.  The margin of error in this case is slightly larger tha

in a normal distribution with a mean of 85 and a STD of 5, what is the percentage of scores between 75 and 90?

Root Mean Square Deviation The standard deviation is also called the ROOT MEAN SQUARE DEVIATION. This is because it is the ROOT (Step 4) of the MEAN (Step 3) o

Mean Absolute Deviation To avoid the problem of positive and negative deviations canceling out each other, we can use the Mean Absolute Deviation which is given by

Explanation of descriptive statistics Describe what these descriptive statistics show or what recommendations you would create to AIU.  What information do you now have as a re