Which of the following is true for continuous probability distributions? A)P(a b) B)P(a ≤ X ≤ b)is the same as P(a

Question

Which of the following is true for continuous probability distributions? A)P(a < X < b)is the same as P(a > X > b) B)P(a ≤ X ≤ b)is the same as P(a < X < b) C)P(a ≥ X ≥ b)is the same as P(a < X < b) D)P(a = X = b)is the same as P(a < X < b)

Quizplus · Accepted Answer

In a continuous probability distribution, the probability of a specific value is zero. Therefore, P(a ≤ X ≤ b) is the same as the probability of the interval a < X < b. Option A is incorrect because the signs are reversed, while option C is incorrect because the probability of the interval a < X < b excludes a and b. Option D is incorrect because, as stated earlier, the probability of a specific value is zero. Therefore, the only correct option is B.

Which of the Following Is True for Continuous Probability Distributions