Let x be a continuous random variable and let c be a constant. Which of the following statements does NOT apply to the probability of x? A) The probability that x assumes a value in the intervaltois the area under the probability density function betweenand. B) P(x = c) = c C) P(x c) D) P(x = c) = c and P(x c) = P(x c)

Question

Let x be a continuous random variable and let c be a constant. Which of the following statements does NOT apply to the probability of x? A) The probability that x assumes a value in the intervaltois the area under the probability density function betweenand. B) P(x = c) = c C) P(x < c) = P(x < c) and P(x > c) = P(x > c) D) P(x = c) = c and P(x > c) = P(x > c)

Quizplus · Accepted Answer

Option B is incorrect because the probability of a continuous random variable taking on a specific value is always zero. In other words, P(x = c) = 0 for any constant c.

Let X Be a Continuous Random Variable and Let C