123314

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

Country Boy

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)?