30 25 20 15 10 Aret PH 160 180 40 60 80 100 120 140 Runlength (minutes) Frequency of Runlength
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Movie lengths The histogram shows the running times in
minutes of 150 top grossing films of 2011.Movie lengths The histogram shows the running times in
minutes of 150 top grossing films of 2011.a) You plan to see a movie this weekend. Based on
these movies, how long do you expect a typical
movie to run?
b) Would you be surprised to find that your movie ran for
21
2 hours (150 minutes)?
c) Which would you expect to be higher: the mean or the
median run time for all movies? Why?
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