For a standard normal distribution, find:

P(z > -2.58)
Express the probability as a decimal rounded to 4 decimal places.

To find the probability P(z > -2.58) for a standard normal distribution, we need to find the area to the right of -2.58 on the standard normal distribution curve.

Since the standard normal distribution curve is symmetric, this is equivalent to finding the area to the left of 2.58 on the standard normal distribution curve.

Using a standard normal distribution table or a calculator, we can find that the area to the left of 2.58 is approximately 0.9951.

Therefore, the probability P(z > -2.58) is 1 - 0.9951 = 0.0049.

Rounding to 4 decimal places, P(z > -2.58) ≈ 0.0049.