For each of the following, find the constant c such that f(x) satisfies the conditions of the PMF for a random variables X. (a) f(x) = c(2/3)x, x = 1,2,... (b) f(x) = cx, x = 1,2,...,10
For each of the following, find the constant c such that f(x) satisfies the conditions of the PMF for a random variables X. (a) f(x) = c(2/3)x, x = 1,2,... (b) f(x) = cx, x = 1,2,...,10
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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For each of the following, find the constant c such that f(x) satisfies the conditions of the PMF for a random variables X.
(a) f(x) = c(2/3)x, x = 1,2,...
(b) f(x) = cx, x = 1,2,...,10
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Follow-up Question
Can I approach part a like this? See attached image. Thanks.

Transcribed Image Text:f(x) = C(=), X=1,2,.... D
{
c (룸)
X=1
C =
C =
1=X
1=X
을 (를)
** geometric sum
1
X
a
1 =
2
=
D
{a² = +₁ if lal<1₁,
Σα
1-a
X=0
1-0-1
=
ر کوئی
b
a
1-A
11
llet
Solution
Follow-up Question
Can I approach part a like this? See attached image. Thanks.

Transcribed Image Text:f(x) = C(=), X=1,2,.... D
{
c (룸)
X=1
C =
C =
1=X
1=X
을 (를)
** geometric sum
1
X
a
1 =
2
=
D
{a² = +₁ if lal<1₁,
Σα
1-a
X=0
1-0-1
=
ر کوئی
b
a
1-A
11
llet
Solution
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