Introduction to the Binomial Distribution
AP Statistics · Flashcards · Application
AP STATISTICS · FLASHCARDS
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QUESTION
Identify whether this is binomial: sample 5 cards without replacement,
X
X
X
= number of aces.
QUESTION
Find
P
(
X
≥
1
)
P(X\ge 1)
P
(
X
≥
1
)
for
X
∼
Bin
(
6
,
p
)
X\sim\text{Bin}(6,p)
X
∼
Bin
(
6
,
p
)
in terms of
p
p
p
.
QUESTION
Find
μ
\mu
μ
and
σ
\sigma
σ
for
X
∼
Bin
(
25
,
0.4
)
X\sim\text{Bin}(25,0.4)
X
∼
Bin
(
25
,
0.4
)
.
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ANSWER
μ
=
10
,
σ
=
6
\mu=10,\ \sigma=\sqrt{6}
μ
=
10
,
σ
=
6
. Use
μ
=
n
p
=
25
(
0.4
)
\mu=np=25(0.4)
μ
=
n
p
=
25
(
0.4
)
and
σ
=
25
(
0.4
)
(
0.6
)
\sigma=\sqrt{25(0.4)(0.6)}
σ
=
25
(
0.4
)
(
0.6
)
.
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