SOLUTION: In a normal distribution the mean is 50 and the standard deviation is 5. Find the proportion of values that do not lie between 48 and 52.

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Question 528096: In a normal distribution the mean is 50 and the standard deviation is 5. Find the
proportion of values that do not lie between 48 and 52.

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
P(X > 52) = P[Z>(52-50)/5] = P(Z > 0.4)= 0.3446
P(X < 48) = P[Z < (48-50)/5] = P(Z < -0.4) = 0.3446

We add the two probabilities to get the proportion of values that do not lie between 48 and 52, the result is 0.6892.