Ap Stats Formula Sheet Page 2
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2009 AP
STATISTICS FREE-RESPONSE QUESTIONS
(II)
Probability
»
=
+
-
«
P A
(
B
)
P A
( )
P B
( )
P A
(
B
)
«
P A
(
B
)
=
P A B
(
)
P B
( )
=
μ
= Â
E X
( )
x p
x
i i
(
)
2
=
=
-
μ
2
Â
s
Var( )
X
x
p i
x
i
x
If X has a binomial distribution with parameters n and p , then:
Ê ˆ
-
n
k
n k
=
=
-
Á ˜
P X
(
k
)
p
(1
p
)
Ë ¯
k
μ
x =
np
s =
-
np
(1
p
)
x
μ
p =
p
ˆ
-
p
(1
p
)
=
s
ˆ
p
n
If x is the mean of a random sample of size n from an infinite
population with mean μ and standard deviation , s then:
μ
x =
μ
s
=
s
x
n
-4-
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