Which one of the following is  not the characteristics of normal distribution?

Correct option is D

The correct answer is (d) The two tails of the distribution in both the directions touches the horizontal axis.
In a normal distribution, the curve is asymptotic to the horizontal axis. This means the tails extend infinitely in both directions, getting closer and closer to the x-axis but never actually touching or crossing it.
Information Booster
· Symmetry: The curve is perfectly symmetrical around the center; the left half is a mirror image of the right.
· Central Tendency: For a perfectly normal distribution, the relationship is $Mean = Median = Mode$.
· Total Probability: The area under the entire curve is exactly 1 (or 100%), representing the total probability.
· Empirical Rule: Approximately 68%, 95%, and 99.7% of data points fall within one, two, and three standard deviations of the mean, respectively.
Additional Knowledge
· Bell-shaped and symmetric: This is a defining physical trait; any skewness would make it a non-normal distribution.
· Mean, Median and Mode are equal: This occurs because the peak (mode) is in the exact middle of the symmetric spread.
· Total area is one: This is a fundamental requirement for any continuous probability density function.