Suppose Ic[-1, 1] is an interval. Define the indicator function, XI : [-1, 1]→R, by { 1, x e I 0, x ¢ I X1(x):= (1) Show that XI is Riemann integrable on [-1, 1] by using the ɛ-definition of Riemann integrability. (2) Show if a and b are the endpoints of I, then X1(x) dx = |b – a| |3D

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.