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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