The figure below shows the probability density function f(x) for the life time of an electronic component in weeks:

I will explain the graph because it is impossible to show here.

Y-axis is f(x).

X-axis is x(week).

The value of f(x) is 0. From 0 to 40.

And f(x) is1/40 . Is from 40 to 60.

Ad value is continously decreasing from 60 to 100.

(a) Find the cumulative distribution function F(x) for this random variable x.

(b) Compute the probability that the life time of the component will be less than 60 weeks.

(c) Compute the probability that the life time of the component will be between 60 and 80 weeks.