Why is it that sometimes when calculating normal probabilities such as P(X is greater than or equal to 5), we calculate P(X is greater than or equal to 4.5) instead?
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this needs to be done if you are approximating (say) the discrete binomial distribution by the continuous normal.
it is called "continuity correction", and gives a better approximation.
"5" in a continuous distribution is taken to range from 4.5 to 5.5,
so ≥ 5 becomes ≥ 4.5, while ≤ 5 becomes ≤ 5.5
for more examples, see
http://people.richland.edu/james/lecture…
it is called "continuity correction", and gives a better approximation.
"5" in a continuous distribution is taken to range from 4.5 to 5.5,
so ≥ 5 becomes ≥ 4.5, while ≤ 5 becomes ≤ 5.5
for more examples, see
http://people.richland.edu/james/lecture…
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Question seems to be incorrect as the probability P(X) can only be in the range 0 and 1
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calculation mistake