Final answer:
To calculate P(1.55≤z≤2.17), find the area to the left for each z-score from a standard normal distribution table and subtract the smaller from the larger area.
Step-by-step explanation:
The question asks to calculate the probability P(1.55≤z≤2.17) given that z is a standard normal random variable. To find this, we look at the standard normal distribution table or use statistics software. First, find the area to the left of z = 2.17, which we denote as A(2.17), and the area to the left of z = 1.55, which is A(1.55).
Next, the probability that z is between 1.55 and 2.17 is the difference between these two areas, calculated as P(1.55≤z≤2.17) = A(2.17) - A(1.55). Using a z-table or appropriate software will yield this probability.
This requires finding the separate areas from the table and then subtracting the smaller from the larger to find the probability of z falling between the two values.