Let x be a continuous random variable and let c be a constant. Which of the following statements is false? A) The probability that x assumes a value in the intervaltois the area under the probability density function betweenand. B) P(x = c) = 0 C) P(xc) = P(x c) D) All of these. E) None of these.

Question

Let x be a continuous random variable and let c be a constant. Which of the following statements is false?
A) The probability that x assumes a value in the intervaltois the area under the probability density function betweenand.
B) P(x = c) = 0
C) P(xc) = P(x < c) and P(xc) = P(x > c)
D) All of these.
E) None of these.

Quizplus · Accepted Answer

The statements provided in the options are incomplete, making it impossible to accurately determine their truthfulness. However, based on common principles of continuous random variables: A) generally describes how probabilities are determined for continuous variables using the area under the curve of their probability density function; B) is true because the probability of a continuous random variable assuming any specific value is 0; C) seems to be incorrectly formatted or incomplete, but the principle that for any continuous random variable, the probability of being less than or equal to a value and the probability of being greater than or equal to a value are complementary is generally true. Without the complete statements, it's challenging to identify a false statement accurately, leading to the conclusion that none of the provided options can be definitively identified as false based on the information given.

Let X Be a Continuous Random Variable and Let C