Question

In a normal probability distribution, what is the probability that x is greater than or equal to the mode?

Answer 1

In a normal probability distribution, the probability that x is greater than or equal to the mode is 0.5

i.e. P(X ≥ mode) = 0.5

Explanation: The mean, median and mode of Normal distribution are equal because the curve of normal probability distribution is symmetric at the center. The area under normal cure is equal to 1. The half of the values are to the left of the center (mode) and half of the values are to the right of the center (mode). Hence the probability that x is greater than or equal to the mode is 0.5