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March 1st, 2016, 12:33 AM   #1
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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
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March 5th, 2016, 05:10 AM   #2
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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, p|x1|&lt2, p|x1|<2, xn2



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