MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The probability density function for the continuous random variable
X is given by:
(A(x² – 2x + 21) 0<x<3
ЗА
f(x) =
3<x< 4
otherwise
Where A is a constant
a) Find the value of A
b) Find the cumulative distribution function F(x).
c) Show that the median of X lies between x = 2.6 and x = 2.7.
d) Find the mean and standard deviation of X
e) Compute E(X + 2)².
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Transcribed Image Text:The probability density function for the continuous random variable X is given by: (A(x² – 2x + 21) 0<x<3 ЗА f(x) = 3<x< 4 otherwise Where A is a constant a) Find the value of A b) Find the cumulative distribution function F(x). c) Show that the median of X lies between x = 2.6 and x = 2.7. d) Find the mean and standard deviation of X e) Compute E(X + 2)².
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