|x≤-a. Determine (a) the probability that X will be on the interval (—a/2, a/2), (b) the quantile x0.75, (c) the probability density f(x) of the random variable X, distrib.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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a circumference
arcsine law)
1 The projection X of the radius-vector of a random point on
of radius a onto the diameter has the distribution function (the
F(x)
{4
TT
=
infor
a
arcsin
x > a;
-a < x < a;
x < -a.
Determine (a) the probability that X will be on the interval (-a/2, a/2),
(b) the quantile x0.75, (c) the probability density f(x) of the random variable X,
(d) the mode and median of the distribution.
Transcribed Image Text:a circumference arcsine law) 1 The projection X of the radius-vector of a random point on of radius a onto the diameter has the distribution function (the F(x) {4 TT = infor a arcsin x > a; -a < x < a; x < -a. Determine (a) the probability that X will be on the interval (-a/2, a/2), (b) the quantile x0.75, (c) the probability density f(x) of the random variable X, (d) the mode and median of the distribution.
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