Final answer:
To calculate P(z>1.71), subtract the area to the left of z=1.71 from 1, as found in the z-table. The result is 0.0446, which is the probability of z being greater than 1.71, rounded to four decimal places.
Step-by-step explanation:
To find P(z>1.71) for a standard normal distribution, you can use a z-table, a calculator with statistical functions, or statistical software. Since most z-tables provide the area to the left of a given z-score, you would look up the z-score of 1.71 and find the corresponding area. Assuming the z-table shows the area to the left of z=1.71 as 0.9554, you would then subtract this value from the total area under the curve, which is 1. Hence:
- P(z>1.71) = 1 - P(z<=1.71)
- P(z>1.71) = 1 - 0.9554
- P(z>1.71) = 0.0446
The probability that z is greater than 1.71 is calculated as 0.0446, rounded to four decimal places.