Post on 10-Apr-2019
Sebaran Normal dan Sebaran
Penarikan Contoh
(Sampling Distibution)
Dr. Kusman Sadik, M.Si
Departemen Statistika IPB, 2017/2018
We have limited our discussion to probability
distributions of discrete random variables. A discrete
random variable takes on only some isolated values,
usually integers representing a count.
We now turn our attention to the probability distribution
of a continuous random variable, one that can ideally
assume any value in an interval.
Variables measured on an underlying continuous scale,
such as weight, strength, life length, and temperature,
have this feature.
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Sebaran peluang p.a. kontinu X disebut sebagai fungsi
kepekatan peluang X (probability density function),
biasanya ditulis f(X)
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Untuk peubah acak X kontinu, maka:
P(X = k) = 0
P(X ≤ k) = P(X < k)
P(X ≥ k) = P(X > k)
dimana k adalah konstanta
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A continuous random variable X also has a mean,
or expected value E(X), as well as a variance V(X)
and a standard deviation.
Their interpretations are the same as in the case of
discrete random variables, but their formal
definitions involve integral calculus and are
therefore not pursued here.
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Mean = Median Symmetric
Mean < Median Skewed to left Mean > Median Skewed to right
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Sebaran Normal merupakan salah satu sebaran
untuk peubah acak kontinu.
Apabila peubak acak X menyebar Normal dengan
E(X) = μ dan V(X) = σ2 ditulis sebagai berikut:
X ~ Normal (μ, σ)
μ dan σ disebut sebagai parameter sebaran Normal
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Johnson : Example 7 (hlm. 240)
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Johnson (Exercise 7.21), hlm. 284
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Johnson (Exercise 7.41), hlm. 291
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Johnson (Exercise 7.46), hlm. 292
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Johnson (Exercise 7.48), hlm. 292
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Johnson, R.A. and Bhattacharyya, G.K. 2010.
Statistics, Principles and Methods 6th. John Wiley
& Sons, Inc., New York.
Montgomery, D.C. 2013. Design and Analysis of
Experiments 8th. John Wiley & Sons, Inc.,
Canada.
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