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plot_rv - Plots and Random#s EXCEL Functions Obtaining a...

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Plots and Random #s EXCEL Functions
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Obtaining a Density Function Create a column with a range of values of x containing a large portion of the density Create a column that evaluates f(x) at each value of x (Specific denities below) Repeat previous step for multiple pdf’s Highlight columns with x (left-hand column) and f(x) (right hand column(s)) Chart Wizard XY (Scatter) Picture with Smooth curves/No points
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Families of Densities Gamma( α,β ): f(x)=GAMMADIST(x, α,β ,FALSE) Exponential ( α =1 ) special case of Gamma Chi-Square ( α= n/2, β =2 ) special case of Gamma Normal( μ ,σ 2 ): f(x)=NORMDIST(x, μ ,σ , FALSE) Other densities obtained by directly typing in f(x)
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Example: Gamma( α= 2,β= 2 ) 0.01 0.002488 0.02 0.00495 0.03 0.007388 0.04 0.009802 0.05 0.012191 0.06 0.014557 0.07 0.016898 0.08 0.019216 0.09 0.02151 14.95 0.002119 14.96 0.00211 14.97 0.002101 14.98 0.002092 14.99 0.002083 15.00 0.002074 Cell A1 =GAMMADIST(a1,2,2,False) Cell A1500 =GAMMADIST(a1500,2,2,False)
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Example: Gamma( α= 2,β= 2 ) Gamma(2,2) pdf 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 0 2 4 6 8 10 12 14 16 x f(x)
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Cumulative Distribution Function Create a column with a range of values of x
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