Final answer:
To calculate the probability that Z lies between -1.71 and -0.572, we subtract the area to the left of -1.71 from the area to the left of -0.572 given in a Z-table, resulting in a probability of 0.24.
Step-by-step explanation:
The student is asking how to calculate the probability that a standard normal variable Z lies between -1.71 and -0.572. To find this probability using a Z-table, we look up the area under the normal curve to the left for each of these z-scores. The area to the left of -1.71 is not given, but we can find the area to the left of 1.71 and subtract it from 1 (since the standard normal distribution is symmetric). Let's assume the Z-table gives us an area to the left of 1.71 as 0.9564. Therefore, the area to the left of -1.71 is 1 - 0.9564 = 0.0436. For -0.572, the area to the left is usually found directly in the table, which we assume is 0.2836. The probability that Z lies between these two values is the difference of the two areas, which would be 0.2836 - 0.0436 = 0.24.