Which ones in the following list are properties of a normal density function ? Group of...

Which ones in the following list are properties of a normal density function ?

Group of answer choices

Expert Solution

. Probability density function is 'derivative' of probability distribution function.

i)

Normal density function is a 'symmetric'

because it is bell shaped and normal curve, a normal distribution comes with a perfectly symmetrical shape. This means that the distribution curve can be divided in the middle to produce two equal halves. The symmetric shape occurs when one-half of the observations fall on each side of the curve.

ii)

The total area under the curve and above the horizontal axis is equal to 1.

because it is a probability curve and its pdf will follow the assumption of total probabilities i.e., Total area or probability should be unity.

Normal distributions are symmetric, unimodal, and asymptotic, and the mean, median, and mode are all equal. A normal distribution is perfectly symmetrical around its center.

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