The measurement error of an instrument can be described by a random variable X with distribution function

(i) Calculate the following probabilities P(X (ii) Find the density function and the expectation of the random variable X.
(iii) Obtain the distribution for the magnitude of the error (i.e. that of the random variable |X|) along with the expected value of this magnitude.

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0, 3 F(t)= + 4t- - 2 32 1. t