let X be a continuous random variable with density f (x) and CDF F(x).

(1) state two properties of f.

(2)state three properties of F.

(3) what is the relationship between F and f?

(4) write an expression for X

(5) write an expression for P(a < X < b);

(1.)

The two properties of f are:

• The probability density function is always greater than 0.
• The area under the probability density function is 1.