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March 1st, 2016, 12:33 AM  #1 
Newbie Joined: Mar 2016 From: Europe Posts: 1 Thanks: 0  X~N(2,2) Calculate probability P(X1<2)
Hi This should be "easy task" like looking the table from "normal distribution's cumulative distribution function": > https://en.wikipedia.org/wiki/Standard_normal_table Normal distribution X~N(2,2) calculate probability P(X1<2) ? Clue= transform to "standard normal distribution" ANSWER= 0.744 
March 5th, 2016, 05:10 AM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894 
Do you have a question? Are you asking if your answer is correct? X 1< 2 is the same as 2< X 1< 2 which is the same as 1< X< 3. With mean 2 and standard deviation 2, X= 1 corresponds to the "standard normal" variable z= (1 2)/2= 3/2 and X= 3 corresponds to z= (3 2)/2= 1/2. What are the probabilities N(z< 3/2) and N(z< 1/2)? 

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calculate, probability, px1<2, px1<2, xn2 
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