Question

let X be a Uniformly distributed random variable over-5.5) Determine 3) Cumulative distribution function of X
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Answer 1

Answer:

Cumulative Distribution Function

The cumulative distribution function (CDF) of T is the complement of S(t):

(2)F(t)≡Pr(T≤t)=1−S(t),

where F(t) is the probability that the event occurs before time t. The CDF and the survival probability give equivalent information, but traditionally the survival probability is reported more often than the CDF in event history analysis. Ordinarily, F(∞) = 1; eventually the event occurs. If the probability distribution of the event time is defective, there is a nonzero probability that the event does not occur, even after an infinite amount of time has elapsed. Then F(∞) < 1.