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Find the area in the left tail more extreme than z = -2.65 in a standard normal distribution. Round your answer to three decimal places. Area =

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Final answer:

The area in the left tail more extreme than z = -2.65 in a standard normal distribution is 0.9962.

Step-by-step explanation:

To find the area in the left tail more extreme than z = -2.65 in a standard normal distribution, we can use the z-table. The z-table provides the area to the left of a given z-score. In this case, the area to the left of z = -2.65 is 0.0038 (rounded to four decimal places). Since we are looking for the area in the left tail more extreme than -2.65, we need to subtract this area from 1. So, the area in the left tail more extreme than z = -2.65 is 1 - 0.0038 = 0.9962 (rounded to four decimal places).

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