Independent standard normal variables

rad6210

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Sep 13, 2009
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Let X and Y be independent standard normal variables. Find:
a) P(3X + 2Y > 5)
b) P(min(X,Y) < 1)
c) P(|min(X,Y)| < 1)
d) P(min(X,Y) > max(X,Y) - 1)

I know this is probably pretty straight forward, but I'm not sure how to do these ... I know, for example, part a is N(0,13) , but how do you know what to look up in the table? Thanks!
 
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