For a continuous random variable x, P(x a) = P(x a) and P(x a) = P(x

Name: For a continuous random variable x, P(x a) = P(x > a) and P(x a) = P(x < a).
Brand: Quizplus
Rating: 4.8 (36 reviews)

Question

For a continuous random variable x, P(x  a) = P(x > a) and P(x  a) = P(x < a).

Quizplus · Accepted Answer

The statement is true for any continuous random variable x. This is because the probability of x being exactly equal to a continuous value is always zero. Therefore, P(x > a) is equivalent to the probability that x is greater than a, and P(x < a) is equivalent to the probability that x is less than a.

For a Continuous Random Variable X, P(x A) =