Take A Position On Whether Or Not The Total Area U

Take a position on whether or not the total area under a normal distribution is infinite. Provide an example to support your responseProbability is an essential branch of mathematics and normal distribution comes in handy when explaining occurrences. In general the study of probability is deals with the occurrence of events with all outcomes lying in the set (0, 1). Where 1 represents a sure even while a 0 represent an impossible outcome. A normal distribution is a continuous probability for a random variable X which is defined based on its mean and standard deviation. The total area under the normal distribution curve can never be infinite. Certainly the value is a finite number and equal to 1. An important property of the normal distribution is the fact that the total area to the left of a specific random variable, say x equals the probability that a randomly chosen value will be less than x. This implies that P(X=x). Consequently, the total area under the curve must be less or equal to the highest probability value of any randomly chosen values which equals 1. I.e. the area under the curve is less than or equal to 1 and therefore