7. Consider a discrete random variable Xwhose cumulative distribution function is given by F(x)= We are also told that P[X> 3] =0.1. (a) What is the value of r? (b) Calculate P[X2 > 2]. (e) Find probability mass function of X. nan 0 0.2 0.5 0.6 0.6+r 1 x < -2 -2≤x≤0 0≤x≤2.2 2.2 ≤ x <3 3≤<4

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 41E
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7. Consider a discrete random variable Xwhose cumulative distribution function is given by
F(x)=
We are also told that P[X > 3] = 0.1.
(a) What is the value of r?
(b) Calculate P[X2 > 2].
(c) Find probability mass function of X.
(d) Find E(X).
0
0.2
0.5
0.6
0.6+r
1
x < -2
-2≤x≤0
0≤x<2.2
2.2 ≤r <3
3≤2<4
x 24.
Transcribed Image Text:7. Consider a discrete random variable Xwhose cumulative distribution function is given by F(x)= We are also told that P[X > 3] = 0.1. (a) What is the value of r? (b) Calculate P[X2 > 2]. (c) Find probability mass function of X. (d) Find E(X). 0 0.2 0.5 0.6 0.6+r 1 x < -2 -2≤x≤0 0≤x<2.2 2.2 ≤r <3 3≤2<4 x 24.
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