00:04
Hello students, as per the question given, let us go through each step and determine if it is characteristics of the normal curve or not.
00:11
So the first option which is given is a normal curves approaches the horizontal axis but never touches or crosses it.
00:22
So this statement which is given first is true that is because normal curves are continuous and tends to infinity in both directions approaching the horizontal axis asymptotically but never touches or crosses it.
00:43
So the first statement which is given is true and the next statement which is normal curves are positively skewed or negatively skewed or skewed.
00:56
So the statement is false that is because a normal distribution is characteristics by it is a bell shaped perfect bell shaped curve only and it is perfectly symmetrical about a vertical line passing through the mean and this means that the left and right halves of the curve are mirror images of each other.
01:24
So there is no skewness in a true normal distribution.
01:27
So the skewness refers to the asymmetry of the distribution and it is not a characteristics of normal distribution in general.
01:33
So coming to the next characteristic normal curves are bell shaped with highest point over the mean.
01:44
So this statement is also true that is because the statement is a duplicate of statement b actually.
01:54
A statement b a statement before it is true that a normal curve are bell shaped with the highest point over the mean.
02:02
So this is also true the third characteristic is also true.
02:06
And coming to the next one normal curves have area of 1 and 3 like it is in between 1 and 3 standard deviation from the mean.
02:19
So this statement is false as the normal curves have an area of approximately 0 .9973 or above to this percent.
02:34
So it is between minus 3 and plus 3...