Final answer:
To find the area under the standard normal distribution curve to the left of z = -0.83, you reference a z-table or use statistical software or a calculator with this function. The z-table lists the cumulative probabilities or areas to the left of a given z-score for a standard normal distribution.
Step-by-step explanation:
To find the area under the standard normal distribution curve to the left of z = -0.83, we use a z-table. This table provides the area to the left of a given z-score for the standard normal distribution, which has a mean of 0 and a standard deviation of 1. Looking up z = -0.83 on the z-table gives us the area to the left, which represents the probability that a random variable is less than z.
If you don't have a z-table handy, you can also use statistical software or a graphing calculator with the capability to find normal probabilities, such as the TI-83, 83+, or 84+. The command on these calculators would be invNorm, where you would input the desired cumulative probability to find the corresponding z-score. However, in this case, since you are given the z-score and are looking for the area, you would simply cross-reference this value in the provided z-table or input it into the statistical software.