a) Using a calculator or computer, sketch graphs of the density function of the normal

Chapter 8, Problem 3

(choose chapter or problem)

a) Using a calculator or computer, sketch graphs of the density function of the normal distribution p(x) = 1 2 e (x)2/(22) . (i) For fixed (say, = 5) and varying (say, = 1, 2, 3). (ii) For varying (say, = 4, 5, 6) and fixed (say, = 1). (b) Explain how the graphs confirm that is the mean of the distribution and that is a measure of how closely the data is clustered around the mean.

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