My Math Forum X~N(2,2) Calculate probability P(|X-1|<2)

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 February 29th, 2016, 11:33 PM #1 Newbie   Joined: Feb 2016 From: Europe Posts: 1 Thanks: 0 X~N(2,2) Calculate probability P(|X-1|<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(|X-1|<2) ? Clue= transform to "standard normal distribution" ANSWER= 0.744
 March 5th, 2016, 04:10 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 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)? Thanks from adamwlev

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