Elementary Statistics: Picturing the World (6th Edition)

Answer: $z = 0.51$
Want to find the z score that has 30.5% of its distribution to the right, i.e. $P( z > ?) = 0.305$ 1) Find the cumulative area $P( z< ?) = 1 - 0.305$ = 0.695 2) Use the standard normal distribution to find the z-score that corresponds to a cumulative area of 0.695 $=$ 0.51 Therefore, 0.51 is the z score that has 30.5% of its distribution to the right