Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(−b<z<b)=0.273, find b.

Question

And if possible, could you include the way you reached the answer?

Answer 1

The probability outside that interval = 1 - 0.273 = 0.727. Split evenly between above and below, that would be 0.3635. Find the z that corresponds to -0.3625 which is -0.3439. Therefore b is 0.3439.