Is it true or false that as the tails of the normal distribution curve are infinitely long, the total area under the curve is also infinite.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

A normal distribution curve is a graphical representation of the probability of a continuous variable which has a probability defined by a Gaussian function with the highest concentration near values that lie at the mean.

The total probability of any variable is equal to 1 and can never exceed 1.

...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

A normal distribution curve is a graphical representation of the probability of a continuous variable which has a probability defined by a Gaussian function with the highest concentration near values that lie at the mean.

The total probability of any variable is equal to 1 and can never exceed 1.

In a normal distribution curve, the tails of the curve are infinitely long but the area under them decreases at a very fast rate as the value of the variable deviates from the mean. The total area under the entire curve tends to 1 as the area under curve including the infinitely long tails is added up.

Approved by eNotes Editorial Team