Question

Let X be a random variable with probability distribution function f(x)=0.2 for |x|=0.1 for 1<|x|<4=0 otherwise the probability p (0.5

Answer 1

Answer:

Explanation: P (0.5 < x < 5) = Integrating f (x) from

0.5 to 5 by splitting in 3 parts that is from 0.5 to 1

and from 1 to 4 and 4 to 5 we get

P (0.5 < x < 5) = 0.1 + 0.3 + 0

P (0.5 < x < 5) = 0.4.