For a standard normal distribution, find:
P(z > -0.25)
Express the probability as a decimal rounded to 4 decimal places.
To find P(z > -0.25) for a standard normal distribution, we can use a standard normal distribution table or calculator. However, since -0.25 is not a standard z-score on the table, we need to convert it to a standard score.
The standard score (z-score) is calculated using the formula:
z = (x - μ) / σ
Since we are dealing with a standard normal distribution, the mean (μ) is 0 and the standard deviation (σ) is 1.
z = (-0.25 - 0) / 1
z = -0.25
Now we can find P(z > -0.25) using the standard normal distribution table or calculator. From the table or calculator, we find that the area to the left of z = -0.25 is 0.4013.
The total area under the standard normal distribution curve is 1. Therefore, the area to the right of z = -0.25 is:
1 - 0.4013 = 0.5987
Rounded to 4 decimal places, P(z > -0.25) is approximately 0.5987.