Final answer:
The probability calculations for different Z-values are explained step-by-step.
Step-by-step explanation:
a. P(Z ≤ 0.87): To find the probability that Z is less than or equal to 0.87, we can use the standard normal distribution table or a calculator. Looking it up on the table, we find that the probability is approximately 0.8078.
b. P(-1.46 ≤ Z ≤ 1.1): To find the probability that Z is between -1.46 and 1.1, we subtract the area to the left of -1.46 from the area to the left of 1.1. Using a table or calculator, we find that the probability is approximately 0.8164.
c. P(Z ≥ -0.6): To find the probability that Z is greater than or equal to -0.6, we need to consider the area to the left of -0.6. Using a table or calculator, we find that the probability is approximately 0.7257.
d. P(Z ≥ 2.6): To find the probability that Z is greater than or equal to 2.6, we use a table or calculator to find the area to the left of 2.6 and then subtract it from 1. The probability is approximately 0.0047.