Question: A random variable X has the linear distribution given by where a and b are constants. Show that (a) a = 2b (b) The median

A random variable X has the linear distribution given by

fx(x) = Ja - bx (0 x4) 0 (otherwise)

where a and b are constants. Show that

(a) a = √2b 

(b) The median of X is (√2 – 1)/√b

fx(x) = (a - bx (0

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