The measurement error of a certain instrument is a continuous random variable X with density function

(i) Find the value of the constant c.
(ii) Obtain the distribution function of X.
(iii) Find the probability that the measurement error is

(a) positive;

(b) less than 1 in absolute value;

(c) smaller than −3∕2 or greater than 3∕2.

Transcribed Image Text:

c(9-x), -3x3, f(x) 0, elsewhere.