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eMac
- 17
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I was wondering why it is that the Pr(x=#)=0
Continuity correction is used in probability to account for the discrepancy between continuous and discrete data. It is a way to approximate the probability of a discrete variable by using the probability of a continuous variable.
In practice, continuity correction is applied by adjusting the boundaries of a continuous distribution to align with the boundaries of a discrete distribution. This is done by adding or subtracting 0.5 from the endpoints of the interval.
Continuity correction is necessary in some cases because the use of continuous distributions to approximate discrete distributions can lead to errors in probability calculations. It is particularly useful when dealing with small sample sizes or when the values being measured are discrete.
Yes, continuity correction can be used with any type of probability distribution, including normal, binomial, and Poisson distributions. It is a general technique that can be applied to any continuous distribution to approximate the probability of a discrete variable.
The use of continuity correction can improve the accuracy of probability calculations, particularly when dealing with small sample sizes or when the values being measured are discrete. It helps to reduce the errors that may occur when using continuous distributions to approximate discrete distributions.