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Find the area under the standard normal distribution curve to the right of z=−1.42 Express your answer as a decimal rounded to four decimal places.

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Final answer:

To find the area under the standard normal distribution curve to the right of z = -1.42, use the z-table.

Step-by-step explanation:

To find the area under the standard normal distribution curve to the right of z = -1.42, we can use the z-table. The z-table provides the area under the normal curve to the left of a given z-score. In this case, we are interested in the area to the right of z = -1.42.

First, locate the absolute value of z = 1.42 in the z-table. The closest value in the table is 1.4. The corresponding area to the left of z = 1.4 is 0.9192. To find the area to the right of -1.42, we subtract the left area from 1: 1 - 0.9192 = 0.0808.

Therefore, the area under the standard normal distribution curve to the right of z = -1.42 is approximately 0.0808.

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