Using Normal Distributions to Estimate Populations
Statistics and Probability · Flashcards · Application
STATISTICS AND PROBABILITY · FLASHCARDS
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QUESTION
Using the Empirical Rule, estimate
P
(
X
>
μ
+
2
σ
)
P(X>\mu+2\sigma)
P
(
X
>
μ
+
2
σ
)
for normal data.
QUESTION
Find
x
x
x
for
z
=
−
2
z=-2
z
=
−
2
in a normal model with
μ
=
50
\mu=50
μ
=
50
and
σ
=
4
\sigma=4
σ
=
4
.
QUESTION
Using the Empirical Rule, estimate
P
(
X
<
μ
−
3
σ
)
P(X<\mu-3\sigma)
P
(
X
<
μ
−
3
σ
)
for normal data.
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ANSWER
About
0.0015
0.0015
0.0015
. 99.7% within
3
σ
3\sigma
3
σ
, so 0.3% in both tails, 0.15% in lower tail.
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