Let X be a continuous random variable and let c be a constant.Which of the following statements is true?
A) The probability that X assumes a value in the interval X1 to X2 is the area under the probability density function between X1 and X2.
B) P(X = c) = 0.
C) P(X ≤ c) = P(X

Question

Let X be a continuous random variable and let c be a constant.Which of the following statements is true?
A) The probability that X assumes a value in the interval X1 to X2 is the area under the probability density function between X1 and X2.
B) P(X = c) = 0.
C) P(X ≤ c) = P(X < c).
D) All of these statements are true.

Quizplus · Accepted Answer

A) This is true by the definition of probability density function for continuous random variables.
B) This is true since the probability of an exact value for a continuous random variable is always zero.
C) This is true since the probability that X equals to c is zero, so P(X ≤ c) = P(X < c).

Let X Be a Continuous Random Variable and Let C