Find the z-score for which the area to its right is 0.65 .

Write only a number as your answer. Round to two decimal places (for example: 0.81).

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability (.65) and its Z score.

To find the z-score for which the area to its right is 0.65, you can use a standard normal distribution table or a calculator that provides z-scores and their associated areas.

1. Using a standard normal distribution table:
- Look up the closest z-score to the given area of 0.65 in the table.
- The closest z-score to 0.65 is approximately 0.39.
- Round this value to two decimal places, and the answer is 0.39.

2. Using a calculator or software:
- Many calculators and statistical software have built-in functions that provide z-scores and their associated probabilities.
- Enter the probability of 0.65 as the input and request the corresponding z-score.
- The calculator or software should provide the z-score as the output.
- Round this value to two decimal places, and the answer is the calculated z-score.

Therefore, the z-score for which the area to its right is 0.65 is approximately 0.39.