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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 10E

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Sunpose a continuous R.V. x has the probability density function
Sa(1-x²)
for 0<x<1
f (x)=-
%3D
elsewhere
Find k
b) Find P(0.1 <x< 0.2)
(c)
P(x > 0.5) Using distribution function, determine the probabilities that
) x is less than 0.3
e)
between 0.4 and 0.6
Calculate mean and variance for the probability density function.

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