Cumulative Distribution Function

What is the area under a cumulative distribution function?

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Which of the following is NOT a property that the cumulative distribution function F(x) of a random variable X must satisfy?
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Let X be a real random variable with F as the distribution function, then P(X in (a,b]) is given by?
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Let X is a real continuous random variable then P(X = a) for all a in R is given by?

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Let X is a real continuous random variable, such that P(X = 1) = 0.2 and P(X=4)=0.8 then what is the probability of X lying between 1 and 4?

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