the area under the whole normal curve is
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Answer:
The total area under the normal curve is equal to 1. The probability that a normal random variable X equals any particular value is 0.
Explanation:
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Concept
The normal distribution is a symmetrical continuous probability distribution on both sides of the mean, meaning that the right side of the centre is the mirror image of the left side. The whole area under the normal distribution curve equals one.
Given
Whole normal curve
Find
We are asked to find the area under the whole normal curve
Solution
The entire area beneath the normal curve is one. A normal random variable X has a 0% chance of equaling any value. The area under the normal curve limited by a and plus infinity is equal to the probability that X is bigger than a.
Hence the area under the whole normal curve is one.
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