Final answer:
The probability associated with a z-score of -1.5 can be found by looking up the z-score in a standard normal table or using a calculator. In this case, the probability is approximately 0.0668.
Step-by-step explanation:
The z-score is a measure of how many standard deviations an individual data point is from the mean of a distribution. In this question, we are given that the z-score is -1.5. To find the probability associated with this z-score, we can use a standard normal table or calculator.
The area to the left of a z-score of -1.5 can be found by looking up the z-score in a standard normal table or using a calculator like the TI-83, 83+, or 84+. The area corresponds to the probability, so P(-1.5 <= Z) is the probability that a randomly selected value falls between the mean and -1.5 standard deviations below the mean.
Using a standard normal table or calculator, we can find that the area to the left of a z-score of -1.5 is approximately 0.0668. Therefore, P(-1.5 <= Z) is approximately 0.0668.