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In a certain country, the portion of highway section (x) requiring repairs in a given year...

In a certain country, the portion of highway section (x) requiring repairs in a given year is a random variable having the distribution.

f(x)= {Kx^2(1-x), 0<x<1

0 elsewhere

a) find the constant k in the above expression

b) determine the probability that at most half of the highway sections will require repairs in any given year.

Math   Statistics-And-Probability   
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