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Q: Is the range of outcomes infinite in normal distribution?
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Normal distribution is finite?

The domain is infinite but the range is finite.


A complete probability distribution is always an objective listing of all possible events Since it is impossible to list all the possible outcomes from a single event probability distributions are o?

Your question is not clear, but I will attempt to interpret it as best I can. When you first learn about probability, you are taught to list out the possible outcomes. If all outcomes are equally probable, then the probability is easy to calculate. Probability distributions are functions which provide probabilities of events or outcomes. A probability distribution may be discrete or continuous. The range of both must cover all possible outcomes. In the discrete distribution, the sum of probabilities must add to 1 and in the continuous distribtion, the area under the curve must sum to 1. In both the discrete and continuous distributions, a range (or domain) can be described without a listing of all possible outcomes. For example, the domain of the normal distribution (a continuous distribution is minus infinity to positive infinity. The domain for the Poisson distribution (a discrete distribution) is 0 to infinity. You will learn in math that certain series can have infinite number of terms, yet have finite results. Thus, a probability distribution can have an infinite number of events and sum to 1. For a continuous distribution, the probability of an event are stated as a range, for example, the probability of a phone call is between 4 to 10 minutes is 10% or probability of a phone call greater than 10 minutes is 60%, rather than as a single event.


What is the application of normal distribution curve in quality control?

If the underlying distribution of the product is normally distributed then (and only then) the normal distribution can be used to identify specimens that are outside the acceptable range.


How many standard deviations is needed to capture 75 percent of data?

It depends on the shape of the distribution. For standard normal distribution, a two tailed range would be from -1.15 sd to + 1.15 sd.


What is the range on a line graph?

The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.