Part d, e, f

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Part d, e, f and g

The probability mass function of a random variable X is given by
1
X
f(x) = P(X=x)
F(x) = P(X ≤ x)
0
0.3
0.1
2
?
3
0.2
a) f(2)=P(X=2) =
b) E(X)=
c) Var(X) =
d) Fill F(0), F(1), F(2), F(3) and F(4) in the third row of the above table.
e) The conditional probability P(X=4 | X23) =
f) The conditional probability P(X=4 | X=3) =
g) The conditional probability P(X>3 | X=4) =
0.3
Transcribed Image Text:The probability mass function of a random variable X is given by 1 X f(x) = P(X=x) F(x) = P(X ≤ x) 0 0.3 0.1 2 ? 3 0.2 a) f(2)=P(X=2) = b) E(X)= c) Var(X) = d) Fill F(0), F(1), F(2), F(3) and F(4) in the third row of the above table. e) The conditional probability P(X=4 | X23) = f) The conditional probability P(X=4 | X=3) = g) The conditional probability P(X>3 | X=4) = 0.3
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