Which of these statements is valid with regard to probabilities of continuous random variables?
A) The height of the curve shows the probability of an event.
B) The probability of exactly an event A occurring is always equal to one.
C) Probabilities of events are determined from areas under the curve.
D) The probability distribution is always mound-shaped.

Question

Quizplus · Accepted Answer

For continuous random variables, probabilities of events are determined from the areas under the curve rather than the height of the curve. Option A is not valid because height of the curve represents the density function, not the probability. Option B is not always true because the probability of an event can be less than one or zero. Option D is not always true as continuous probability distributions can have various shapes such as uniform, skewed, or multimodal.

Which of These Statements Is Valid with Regard to Probabilities