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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(|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 |
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 896 |
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|<2, p|x1|<2, xn2 |
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