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getting one random number


Greetings:

I am a fairly new user and I have come across this problem twice. The last 
time I just worked my way around it, but this time I can't.

When I exicute the line below, mathematica takes a new random number for 
each element in the list "k[dist]"
l[dist_] := Map[# < Random[] &, k[dist]]

I would like mathematica to take one random number and then use the same 
random number for evaluating every element in the list.  Also, I want the 
random number to be different each time I use the function.

Any help would be most appreciated.

Thank you.

Kevin



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