Final answer:
The probability that the value of the standard normal variable lies below -3 is approximately 0.0013. Therefore, the correct answer is:D. 0.0013
Step-by-step explanation:
The probability that the value of the standard normal variable lies below -3 can be found by looking up the area to the left of -3 in the standard normal distribution. In this case, we want to find P(Z < -3).
Using a calculator, a computer, or a table for the standard normal distribution, we can find that P(Z < -3) is approximately 0.0013.