When Probability is strictly less than

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When calculating probabilities, it is unnecessary to compute P(X<1) using the formula 1-P(X<1)^{c} = 1-P(X≥1). Software and statistical tables can directly provide P(X<1) without additional calculations. In continuous distributions, P(X<1) and P(X≤1) yield the same result. However, for discrete random variables, the distinction between P(X<1) and P(X≤1) is significant. Understanding these nuances is crucial for accurate probability assessments.
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When Probability is strictly less than should I compute something like P(X<1) as:

1-P(X<1)^{c} = 1-P(X\geq1)

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 P(X &lt; 1) 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)^{c} = 1-P(X\geq1)

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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