Random variable X has CDF given by 0 x<-2 0.3 -2x < 1 Fx(x)= = 0.8 1x5 1 x ≥ 5 a) Sketch the CDF. b) Find P[X > 1], P[X < 1], P[1 < X < 5] and P[1 ≤ X < 5]. c) Find the PMF, Px(x), (remember it is defined Vx = R).
Random variable X has CDF given by 0 x<-2 0.3 -2x < 1 Fx(x)= = 0.8 1x5 1 x ≥ 5 a) Sketch the CDF. b) Find P[X > 1], P[X < 1], P[1 < X < 5] and P[1 ≤ X < 5]. c) Find the PMF, Px(x), (remember it is defined Vx = R).
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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![Random variable X has CDF given by
0
x<-2
0.3
-2x < 1
Fx(x)=
=
0.8
1x5
1 x ≥ 5
a) Sketch the CDF.
b) Find P[X > 1], P[X < 1], P[1 < X < 5] and P[1 ≤ X < 5].
c) Find the PMF, Px(x), (remember it is defined Vx = R).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d86b7f3-5570-4ce2-ade5-b05f7393fda1%2F5fe82dd3-6690-4e96-bd5f-34f0130a0c53%2Ffs2fffo_processed.png&w=3840&q=75)
Transcribed Image Text:Random variable X has CDF given by
0
x<-2
0.3
-2x < 1
Fx(x)=
=
0.8
1x5
1 x ≥ 5
a) Sketch the CDF.
b) Find P[X > 1], P[X < 1], P[1 < X < 5] and P[1 ≤ X < 5].
c) Find the PMF, Px(x), (remember it is defined Vx = R).
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