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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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.

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
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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Follow-up Question

Can I approach part a like this? See attached image. Thanks.

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
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
Bartleby Expert
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