When Probability is strictly less than

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SUMMARY

The discussion centers on the calculation of probabilities in statistical analysis, specifically addressing the expression P(X<1). It is established that for continuous distributions, the probabilities P(X < 1) and P(X <= 1) yield the same result, while for discrete distributions, they differ. The consensus is that there is no need to compute P(X<1) using the formula 1-P(X<1)^{c} = 1-P(X≥1), as statistical software or tables can directly provide the necessary calculations.

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Dwolfson
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When Probability is strictly less than should I compute something like P(X<1) as:

1-P(X<1)[tex]^{c}[/tex] = 1-P(X[tex]\geq[/tex]1)

Thanks,
D
 
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Short answer: no, there is no need to do that. Software (or tables, if you still need to use those) will allow you to calculate [tex]P(X < 1)[/tex] and things similar just fine.
 
Dwolfson said:
When Probability is strictly less than should I compute something like P(X<1) as:

1-P(X<1)[tex]^{c}[/tex] = 1-P(X[tex]\geq[/tex]1)

Thanks,
D

When you are dealing with continuous distributions the probability of 1 - P(X < 1) and 1 - P(X <= 1) are treated the same. If the random variable is discrete it will make a difference.
 

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