Thickness measurements of a coating process are made to the nearest hundredth of a millimeter. The thickness measurements are uniformly dist

Question

Thickness measurements of a coating process are made to the nearest hundredth of a millimeter. The thickness measurements are uniformly distributed with values 0.13, 0.14, 0.15, 0.16, 0.17. Determine the mean and variance of the coating thickness for this process. Round your answers to four decimal places (e.g. 98.7654).

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bonexptip 3 years 2021-09-05T15:05:39+00:00 1 Answers 302 views 0

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  1. niczorrrr
    0
    2021-09-05T15:07:32+00:00
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    Answer:

    Mean=0.1500mm

    Variance=0.00025mm

    Explanation:

    The discrete uniform distribution has parameters

    a=13 and b=17

    Calculating the mean:

    E(x)=\frac{13+17}{2}\\ E(x)=15*10^{-2}mm\\ or\\E(x)=0.1500mm

    For variance

    Var(x)=\frac{(17-13+1)^{2} -1}{9.5}\\Var(x)=2.5*10^{-4}mm\\ or\\Var(x)=0.00025mm

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