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 September 11th, 2011, 03:02 AM #1 Newbie   Joined: Apr 2010 Posts: 24 Thanks: 0 Finding standard normal random variable Not really sure how to go about these questions. Any help would be much appreciated For the standard normal random variable Z, if Pr(Z<-a) = p and a>� Find: a) Pr(Z?a) b) Pr(-a
 September 11th, 2011, 05:25 AM #2 Math Team   Joined: Sep 2007 Posts: 2,409 Thanks: 6 Re: Finding standard normal random variable Sorry, at first I missed the "Pr(z< -a)= p". Also, since you say this is the standard normal random variable, so the condition is that a> 0. Pr(Z< 0) is, of course, 1/2, so Pr(-a<= Z<= 0)= 1/2- p. From that, and the symmetry of the Normal distribution, P(0<=Z<= a)= 1/2- p and so Pr(Z<= a)= 1/2- p+ 1/2= 1- p. And, of course, Pr(-a<= Z<= a)= 2(1/2- p)= 1- 2p, again by symmetry. Tags finding, normal, random, standard, variable Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post hansherman Advanced Statistics 0 February 6th, 2014 04:25 AM Exfactor Algebra 1 January 13th, 2014 09:30 PM anthonye Advanced Statistics 4 June 23rd, 2013 10:33 AM Ethnikation Algebra 0 November 8th, 2012 01:58 AM desiclub07 Algebra 3 June 21st, 2010 02:49 PM

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