My Math Forum Finding standard normal random variable

 Algebra Pre-Algebra and Basic Algebra Math Forum

 September 11th, 2011, 04:02 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>µ Find: a) Pr(Z?a) b) Pr(-a
 September 11th, 2011, 06:25 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, $\mu= 0$ 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 Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post hansherman Advanced Statistics 0 February 6th, 2014 05:25 AM Exfactor Algebra 1 January 13th, 2014 10:30 PM anthonye Advanced Statistics 4 June 23rd, 2013 11:33 AM Ethnikation Algebra 0 November 8th, 2012 02:58 AM desiclub07 Algebra 3 June 21st, 2010 03:49 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top