The Geometric Distribution
AP Statistics · Flashcards · Application
AP STATISTICS · FLASHCARDS
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QUESTION
For
p
=
0.25
p = 0.25
p
=
0.25
, what is the mean
E
(
X
)
E(X)
E
(
X
)
of the distribution?
QUESTION
Find
P
(
X
>
3
)
P(X > 3)
P
(
X
>
3
)
for a geometric distribution with
p
=
0.2
p = 0.2
p
=
0.2
.
QUESTION
Find
P
(
X
≤
4
)
P(X \leq 4)
P
(
X
≤
4
)
for a geometric distribution with
p
=
0.3
p = 0.3
p
=
0.3
.
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ANSWER
P
(
X
≤
4
)
=
1
−
(
0.7
)
4
P(X \leq 4) = 1 - (0.7)^4
P
(
X
≤
4
)
=
1
−
(
0.7
)
4
. Uses CDF formula with success probability
p
=
0.3
p=0.3
p
=
0.3
.
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