CUET · MATHS · PYQ PAPER 2025
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 \(x =\mu\), where \(\mu\) is the mean.
(D) y -axis is an asymptote to the curve.
Choose the correct answer from the options given below :
- A (A), (B) and (C) only
- B (A), (C) and (D) only
- C (B) and (D) only
- D (B), (C) and (D) only
Answer & Solution
Correct Answer
(A) (A), (B) and (C) only
Step-by-step Solution
Detailed explanation
(A) Mean, median and mode coincide. (B) Area bounded by the curve and \(x\)-axis is one unit. (C) Symmetrical about \(x = \mu\). The correct option is (A), (B) and (C) only.
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