Final answer:
The area under the standard normal distribution curve to the right of z=-1.42 is found by subtracting the z-table value for the left of z from 1. The calculated area is 0.0778.
Step-by-step explanation:
To find the area under the standard normal distribution curve to the right of z=-1.42, you would use a z-table or statistical software. Most z-tables give the area to the left of the z-score. First, find the area to the left of z=-1.42 and then subtract it from 1 to find the area to the right.The z-table shows that the area to the left of z is 0.9222. Subtracting this area from 1 gives 1 - 0.9222 = 0.0778.
Therefore, the area to the right of z=-1.42, expressed as a decimal rounded to four decimal places, is 0.0778.To find the area under the standard normal distribution curve to the right of z = -1.42, we need to calculate the area to the left of z = -1.42 and subtract it from 1. Use a z-table or calculator to find the area to the left of -1.42, which is 0.0778. Subtracting it from 1 gives us 0.9222. Therefore, the area under the standard normal distribution curve to the right of z = -1.42 is approximately 0.9222 as a decimal rounded to four decimal places.