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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 24E

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Question

The projection X of the radius-vector of a random point on
a circumference of radius a onto the diameter has the distribution function (the
arcsine law)
(x > a;
F(x)
1
+ arcsin
=
for-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.
४/०

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