Final answer:
Using a standard normal distribution table or calculator, the approximate probability P(Z > 2.11) is 0.0174, as the area to the right of 2.11 is larger than that for 2.326 which corresponds to an area of 0.01.
Step-by-step explanation:
To find P(Z > 2.11) for a standard normal distribution, which is the probability that a z-score is greater than 2.11, you have to look at the standard normal distribution table or use a calculator with the ability to compute normal probabilities. However, since we do not have the exact value for 2.11 in the standard table, we can refer to a similar concept in the given information. We have a z-score of 2.326 which corresponds to an area of 0.01 to the right. Given that 2.326 is greater than 2.11, the area to the right of 2.11 will be larger than 0.01.
Using a calculator or the standard normal probability table, we can find P(Z > 2.11) is approximately 0.0174. This is because the standard normal distribution is symmetrical about the mean, z = 0, and the tables or calculators provide the cumulative area from the left up to the z-score. Therefore, to find the area to the right of a positive z-score, we subtract the table value from 1.