In the binomial function, negative binomial function, poisson distribution, I dont know what to do when...

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In the binomial function, negative binomial function, poissondistribution, I dont know what to do when we need to find avariable X. For example, If X is exactly at 0, 1 , 2, etc. Then Iknow that we only need to apply the formula and calculate it.However, in some cases like X <= 2, X >= 5, X > 4, etc,then I do not know how to calculate that X and how to apply theformula. Ex: If P( X >= 4) = 1 - P(X <= 3) and for X <= 3,we will calculate the sum of X = 0, X = 1, X = 2, X = 3. How todefine when to use 1 - P(X <= 3) or how P(X = 4) = P(X <= 4)- P(X <= 3). It really hard for me to understand this concept.Is there any formula or any way to define it so you know when tosubtract, or when to add it together? Thank you.

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Solution In order to explain lets consideran example of binomial probability with The binomial probability distribution for is given belowNow lets suppose we have to find So it means See Answer

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