The curve $y = f(x)$ is normal probability curve, then which of the following statements are correct?

(A) mean, median and mode of the distribution coincide.
(B) the area bounded by the curve $y = f(x)$ and x-axis is one unit.
(C) The curve is symmetrical about the line $x = μ$, where $μ$ is the mean.
(D) y-axis is an asymptote to the curve.

Choose the correct answer from the options given below:

(A), (B) and (C) only

The correct answer is Option (1) → (A), (B) and (C) only **

For a normal probability curve:

(A) Mean, median and mode coincide — ✅ True

(B) Total area under the curve is 1 — ✅ True

(C) The curve is symmetric about $x = \mu$ — ✅ True

(D) y-axis is an asymptote — ❌ False (the curve has no asymptotes; it extends infinitely in both x-directions)

Correct statements: (A), (B), (C)