Final answer:
The probability that z is greater than 0.72 is 0.2358.
Step-by-step explanation:
The probability that the standard normal random variable z is greater than 0.72 can be found by calculating the area under the standard normal curve to the right of 0.72. To find this probability, we can use a z-table or a calculator, which will give us the cumulative probability. From the z-table, the area to the left of 0.72 is 0.7642. To find the area to the right, we subtract this value from 1: 1 - 0.7642 = 0.2358.