Ap Statistics Formula Sheet
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1
2(II) Probability
AP Statistics Formula Sheet
B) = P(A) + P(B) – P(A ∩ B)
P(A
(I) Descriptive Statistics
x
P
(
A
B
)
i
x
P(A | B) =
n
P
(
B
)
x
p
E(X) =
1
x
i
i
2
s
(
x
x
)
x
i
n
1
2
2
(
x
)
p
Var(X) =
x
i
x
i
2
2
(
n
) 1
s
(
n
) 1
s
1
1
2
2
s
p
(
n
) 1
(
n
) 1
If X has a binomial distribution with
1
2
Parameters n and p, then:
ˆ
y
b
b
x
o
1
n
k
n–k
(1 – p)
P(X = k) =
p
k
(
x
x
)(
y
y
)
i
i
b
1
2
(
x
x
)
i
µ
= np
x
b
y
b
x
o
1
np
1 ( p
)
x
x
x
y
y
1
p
i
i
r
ˆ
p
n
1
s
s
x
y
p
1 (
p
)
s
y
ˆ
b
r
p
n
1
s
x
x
ˆ
2
If
is the mean of a random sample of size n
(
y
y
)
i
i
from an infinite population with mean µ and
n
2
standard deviation σ, then:
s
b
1
2
(
x
x
)
i
x
x
n
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