Question

In certain experiments, the error made in determining the solubility of a substance
is a random variable having the uniform density with a=-.025, beta = .025.
What are the probabilities that such an error will be

(a) between .010 and .015?

(b)-.012 and .012?

Answer 1

using the uniform distirubtion formula I get

\[\frac{ 1 }{ \beta - \alpha }=\int\limits_{.010}^{.015}66.65x dx\]

for the integral

Answer 2

after plugging in the limits I get .3333 and 1.5996. Is this right?