Flight 3 Flight 19 Flight 21 22 -5 3. -8 8. -11 -4 19 -5 -4 73 -1 -1 60 18 47 13 142 -11 -1 47 Normal Quantile Plot (n=8) 1.6 1.28 0.96 0.64 0.32 -0.32 -0.64 -0.96 -1.28 -1.6 10 -1 17 28 35 44 53 62 71 80 X Values Z Score
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!
In Exercises 1-5, refer to the following list of departure delay times (min) of American Airline flights from JFK airport in New York to LAX airport in Los Angeles. Assume that the data are samples randomly selected from larger populations.
Normal Quantile Plot The accompanying normal quantile plot was obtained from the Flight 19 departure delay times. What does this graph tell us?
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