4. Assume that X is a continuous random variable with cumula- tive distribution function (cdf) if x < -3 0.3V +3 if -3 5. (a) Compute P(-2< X < 3). (b) Find the median of the distribution of X.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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4.
Assume that X is a continuous random variable with cumula-
tive distribution function (cdf)
if x < -3
0.3Vx + 3
if -3 <x < 1
F(x)
0.025 (π- 1)+0.6
if 1<x < 5
1
if x > 5.
(a) Compute P(–2 < X < 3).
ho
(b) Find the median of the distribution of X.
Transcribed Image Text:4. Assume that X is a continuous random variable with cumula- tive distribution function (cdf) if x < -3 0.3Vx + 3 if -3 <x < 1 F(x) 0.025 (π- 1)+0.6 if 1<x < 5 1 if x > 5. (a) Compute P(–2 < X < 3). ho (b) Find the median of the distribution of X.
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