Question: In certain experiments, the error made in determining the density of a silicon compound is a random variable having the probability density [f(x)=left{begin{aligned}25 & text

In certain experiments, the error made in determining the density of a silicon compound is a random variable having the probability density

\[f(x)=\left\{\begin{aligned}25 & \text { for }-0.02

Find the probabilities that such an error will be

(a) between -0.03 and 0.04 ;

(b) between -0.005 and 0.005 .

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