Given:
Mean – 385 per ticket
Standard Deviation - 110
P (Z > x ) = 0.03
Value of z to the cumulative probability of 0.03 from the normal distribution table is 1.88
P(x-u / (standard deviation) > x - 385/110) = 0.03
That is, (x - 385/110) = 1.88
Therefore, x = 1.88 * 110+385 = 591.91 or $592