Which of the following are true if X is a continuous random variable, and f(x) is the probability density function of X? A. For any two numbers a and b with a ≤ b , P(a ≤ X ≤ b) = a ∫ b f(x)dx B. f(x)...

Which of the following are true if X is a continuous random variable, and f(x) is the probability density function of X?

A. For any two numbers a and b with a ≤ b , P(a ≤ X ≤ b) =
_a∫^b
f(x)dx

B. f(x) ≥ 0

C.
_∞∫
^−∞
f(x)dx = area under the entire graph of f(x) = 1

D. All of the above are true

E. Only B and C are true