X -3 -2 0 1 3 f(x) 1/2 1/10 1/5 1/10 1/10 Questions: a) Compute the expectation E(x). b) Compute the variance of x. c) Find P(x < 1) and P(−2 < x ≤ 1). d) Plot the probability function (probability mass function) of X. e) Calculate and plot the cumulative distribution function F(x).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 23E
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X
-3
-2
0
1
3
f(x)
1/2
1/10
1/5
1/10
1/10
Questions:
a) Compute the expectation E(x).
b) Compute the variance of x.
c) Find P(x < 1) and P(−2 < x ≤ 1).
d) Plot the probability function
(probability mass function) of X.
e) Calculate and plot the cumulative
distribution function F(x).
Transcribed Image Text:X -3 -2 0 1 3 f(x) 1/2 1/10 1/5 1/10 1/10 Questions: a) Compute the expectation E(x). b) Compute the variance of x. c) Find P(x < 1) and P(−2 < x ≤ 1). d) Plot the probability function (probability mass function) of X. e) Calculate and plot the cumulative distribution function F(x).
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