The CDF of continuous random variable X is I < -1c(x + 1)2 -1 < x < 1Fx (x) =x >1a) Find constant c.b) Find P[X > 1/2].c) Find P[-3/4 < X < -1/4].d) Find P[|X| < 1/2].e) For what value of a do we get P[X > a] = 7/16?

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a) Find constant c. b) Find P[X > 1/2]. c) Find P[-3/4

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.5: Equations Of Lines

Problem 48E

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Question

The CDF of continuous random variable X is

I < -1
c(x + 1)2 -1 < x < 1
Fx (x) =
x >1
a) Find constant c.
b) Find P[X > 1/2].
c) Find P[-3/4 < X < -1/4].
d) Find P[|X| < 1/2].
e) For what value of a do we get P[X > a] = 7/16?

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