Answer to Question #186934 in Statistics and Probability for Ashwini

Question #186934

Let X be the thickness of washers a machine turns out. Assume that x has the density f(x)=2.5x if 1.9 < x < 2.1 and 0 otherwish then calculate the probability that washer will have thickness between 1.95mm and 2.05 mm.


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Expert's answer
2021-05-07T09:44:47-0400
P(1.9X2.1)=1.952.052.5xdxP(1.9\leq X\leq 2.1)=\displaystyle\int_{1.95}^{2.05}2.5xdx

=[1.25x2]2.051.95=1.25(2.0521.952)=[1.25x^2]\begin{matrix} 2.05 \\ 1.95 \end{matrix}=1.25(2.05^2-1.95^2)

=0.5=0.5




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