Using the standard normal table, the total probabilities to the right of z = 2.0 and to the left of z = -2.0 is:

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The total probability to the right of z = 2.0 and to the left of z = -2.0 is found by looking up the z-score in the standard normal table, which gives the area to the left of z. For z = 2.0, the area to the left is 0.9772, so the area to the right is 1 - 0.9772 = 0.0228. Since the distribution is symmetrical, the area to the left of z = -2.0 is also 0.0228. Adding these two areas gives 0.0228 + 0.0228 = 0.0456.

Using the Standard Normal Table, the Total Probabilities to the Right