Final answer:
To find the area to the left of a z-score of 1.77, reference a z-table for the standard normal distribution, as it lists the cumulative probability up to that z-score.
Step-by-step explanation:
The question asks to determine the area under the standard normal curve to the left of z-score 1.77. To find this, we refer to a z-table, which provides the area to the left of a given z-score under the standard normal distribution.
We look up the corresponding area in the z-table for a z-score of 1.77. The table gives us the area under the curve to the left of z, which represents the probability that a randomly picked point from the distribution will be less than 1.77 standard deviations above the mean. Typically, z-tables will round the area values to four decimal places, fulfilling the required precision. If the exact value for 1.77 is not available, we interpolate between the tabulated values.