Final answer:
To find P(z > -0.49), you use a z-table to locate the area to the left of z = -0.49, then subtract this from 1. The result is approximately 0.6879, which is the probability of z being greater than -0.49 in a standard normal distribution.
Step-by-step explanation:
To find the probability P(z > -0.49) for a standard normal distribution, you would use a z-table or a calculator with statistical capabilities. The z-table typically provides the area under the normal curve to the left of the z-score. Since the total area under the curve is 1, if you find the area to the left of z = -0.49, subtracting this from 1 will give you the area to the right, which is what P(z > -0.49) represents.
Using the z-table, you locate the area corresponding to z = -0.49. Let's say the table shows an area of 0.3121 to the left of z = -0.49. To find P(z > -0.49), you calculate 1 - 0.3121, which equals 0.6879. Thus, P(z > -0.49) is approximately 0.6879, rounded to four decimal places as requested.