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For the function f(x) = {xtis if-4ex=0 210-0² if 0 < x 25 calculate the value...
1. If f(x) is a Density Function, what is the value of k? Skr3, 0<x<1, f(0) 0, elsewhere.
Given the function: 6x - 1 2 < 0 63 - f(x) = 62 – 2 x > 0 Calculate the following values: f( - 1) = |-7 f(0) = f(2)
Find the Fourier series of the following function, and calculate the sum of rn. n=1 f(x) = 12,2 if 0<r<\ if-1< 0 f(x + 2)-f(x)
7. For the probability density function f(x) = for 0 <<<2 (a) Find P(x < 1) (b) Find the expected value. (c) Find the variance.
Consider f(x), a 27 periodic function defined by: f(x) = 1o, 1 if if -T <I< 0 0 < < Calculate the DC component of the Fourier series of f(x):
A periodic function f(x) with period 21 is defined by: X + -1<x< 0 2 f(x) = 0<x< 2 Determine the Fourier expansion of the periodic function f(x). X - TT
11) Find the value of k so that f (x) = kx4(1 -x)2 for 0 <x < 1 is a beta density function Also determine find E(T) and Var (T)
1 6. Where is the function f(x) { { - X4 if x # 0 discontinuous? if x = 0 0 Is this a removable discontinuity? ex if x < 0 7. Where is the function f(x) discontinuous? x2 if x > 0 Is this a removable discontinuity? Is it a jump discontinuity? f(x) = {
solve for c such that f(x,y) is a valid density function.
Seiten f(x, y) = 1<x<y <3 otherwise 0,
1. Given the piece-wise function, 3x if x < 0 f(x)=x+1 if 0 < x 52 :- 2)2 if x>2 Evaluate f (__); f(0); f (); f(5)