Let T be exponential, and let Z=max(1,T). Find the cdf of Z.

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- Jan 29th 2011, 08:54 PMicobesCDF of a function
Let T be exponential, and let Z=max(1,T). Find the cdf of Z.

- Jan 29th 2011, 10:26 PMmatheagle
you need to be a bit clearer on the precise density, i.e., the parameter involved with T.

Then you need to figure out what it means for

$\displaystyle P(Z\le a)=P(\max\{1,T\}\le a)$

Now if the max of two values are less than a, that means both are less than a.