Mathematics, 02.03.2020 17:45 Ben2752
Suppose that the probability density function ofthe length of computer cables is f (x) = 0.1 from 1200 to1210 millimeters. a. Determine the mean and standard deviation of the cablelength. b. If the length specifications are 1195 < x < 1205 millimeters, what proportion of cables is within specifications?
Answers: 3
for 
implies that 
elsewhere, since
is a random variable representing cable lengths according to the PDF 
.![E[X]=\displaystyle\int_{-\infty}^\infty x\,f(x)\,\mathrm dx=0.1\int_{1200}^{1210}x\,\mathrm dx=1205](/tpl/images/0530/2398/3e397.png)
![\operatorname{Var}[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2](/tpl/images/0530/2398/a989f.png)
![E[X^2]=\displaystyle\int_{-\infty}^\infty x^2\,f(x)\,\mathrm dx=0.1\int_{1200}^{1210}x^2\,\mathrm dx=\frac{4,356,100}3](/tpl/images/0530/2398/f6644.png)
, making the standard deviation 
.
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Suppose that the probability density function ofthe length of computer cables is f (x) = 0.1 from 12...
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