Question

Is this statement true or false? Clearly explain your answer.

The probability of a single point in continuous random variables can be larger than one.

Answer 1

False

The probability of a single point in continuous random variables can be larger than one.--False

Explaination :

The probability of a single point in continuous random variables must be zero

The probability of a specific value of continuous random variable will be zero because the area under a point is zero.

P(x = c) = 0 The probability that x takes on any single individual value is zero. The area below the curve, above the x-axis, and between x = c and x = c has no width, and therefore no area (area = 0). Since the probability is equal to the area, the probability is also zero.