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The total area under a normal distribution is not infinite. The total area under a normal distribution is a continuous value between any 2 given values.

The function of a normal distribution is actually defined such that it must have a fixed value. For the "standard normal distribution" where μ=0 and σ=1, the area under the curve is equal to 1.

Q: The total area under a normal distribution is infinite?

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The distribution of sample means will not be normal if the number of samples does not reach 30.

yes because 1 = 100% so the entire area under the curve is 100%

Yes. The total area under any probability distribution curve is always the probability of all possible outcomes - which is 1.

1.it is bell shaped.2.m.d=0.7979 of s.d 3.total area under the normal curve is equal to 1.

~0.0606

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Yes, and is equal to 1. This is true for normal distribution using any mean and variance.

False. A normalized distribution curve (do not confuse normalized with normal), by definition, has an area under the curve of exactly 1. That is because the probability of all possible events is also always exactly 1. The shape of the curve does not matter.

100%

The distribution of sample means will not be normal if the number of samples does not reach 30.

yes because 1 = 100% so the entire area under the curve is 100%

Yes. The total area under any probability distribution curve is always the probability of all possible outcomes - which is 1.

1.it is bell shaped.2.m.d=0.7979 of s.d 3.total area under the normal curve is equal to 1.

One.

The area under a normal distribution is one since, by definition, the sum of any series of probabilities is one and, therefore, the integral (or area under the curve) of any probability distribution from negative infinity to infinity is one. However, if you take an interval of a normal distribution, its area can be anywhere between 0 and 1.

Yes, it is true; and the 2 quantities that describe a normal distribution are mean and standard deviation.

~0.0606

Approx 0.0606