Let X be a discrete random variable with the following PMF 0.1 for a = 0.2 %3D 0.2 for a = 0.4 %3D 0.2 for z = 0.5 %3D Px(x) = %3D 0.3 for r 0.8 %3D 0.2 for a = 1 otherwise a. Find Rx, the range of the random variable X. b. Find P(X < 0.5). c. Find P(0.25 < X < 0.75). d. Find P(X = 0.2|X < 0.6). %3D
Let X be a discrete random variable with the following PMF 0.1 for a = 0.2 %3D 0.2 for a = 0.4 %3D 0.2 for z = 0.5 %3D Px(x) = %3D 0.3 for r 0.8 %3D 0.2 for a = 1 otherwise a. Find Rx, the range of the random variable X. b. Find P(X < 0.5). c. Find P(0.25 < X < 0.75). d. Find P(X = 0.2|X < 0.6). %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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Transcribed Image Text:(1)
Let X be a discrete random variable with the following PMF
0.1
for a
0.2
%3D
0.2
for z
0.4
%3D
0.2
for r
0.5
%3D
Px(x) =
0.3
for a
0.8
%3D
0.2
for r
1
%3D
otherwise
a. Find Rx, the range of the random variable X.
b. Find P(X <0.5).
c. Find P(0.25 < X < 0.75).
d. Find P(X = 0.2|X < 0.6).
(2)
I roll two dice and observe two numbers X and Y.
a. Find Rx, RyY and the PMFS of X and Y.
b. Find P(X = 2, Y = 6).
c. Find P(X > 3|Y = 2).
d. Let Z = X+Y. Find the range and PMF of Z.
e. Find P(X = 4|Z = 8).
%3D
%3D
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