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November 9th, 2015, 10:23 AM  #1 
Newbie Joined: Nov 2015 From: ISRAEL Posts: 1 Thanks: 0  Need help with solving the following 2 questions (attached)
Have two questions in basic probability, need some help solving (see attached).

November 9th, 2015, 04:11 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,607 Thanks: 616 
1. $\displaystyle P(Y<y)=P(X^2<y)=P(\sqrt{y}<X<\sqrt{y})$ This is simply the integral of the normal density between these limits. 2. $\displaystyle P(U<u) = P(X<u \ and \ Y<u)=P(X<u)P(Y<u)$. The last term results from independence. 

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