What is the probability of an outcome being within 0.5 of a standard deviation from the expected outcome?

Question

What is the probability of an outcome being within 0.5 of a standard deviation from the expected outcome?‏

Answer 1

If the distribution is normal distribution then , the probability
= p (-0.5 < z < 0.5) = 0.1915 + 0.1915 = 0.3830‏