Math Help - checking answer

If f is the prob. density function of a continuous random variable X, then
∫(from x to infinity) f(t) dt equals:

a. P(X ≤ x)
b. P(X ≥ x)
c. P(X ≥ t)
d. P(X = x)
e. P(X = t)


I picked B, Im pretty sure about this, but i really do not understand why. can someone help explain to me? thank you

Originally Posted by plm2e

If f is the prob. density function of a continuous random variable X, then
∫(from x to infinity) f(t) dt equals:

a. P(X ≤ x)
b. P(X ≥ x)
c. P(X ≥ t)
d. P(X = x)
e. P(X = t)


I picked B, Im pretty sure about this, but i really do not understand why. can someone help explain to me? thank you

Correct, it's B. This follows from the definition.