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Find the area under the standard normal curve to the left of z=−1.34 and to the right of z=−0.49. round your answer to four decimal places, if necessary.

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Final answer:

The area under the standard normal curve to the left of z = -1.34 and to the right of z = -0.49 is approximately 0.7745.

Step-by-step explanation:

To find the area under the standard normal curve to the left of z = -1.34, we can use the Z-table. The Z-table gives the area under the normal curve to the left of a given z-score. From the Z-table, the area to the left of -1.34 is approximately 0.0901.

To find the area to the right of z = -0.49, we can subtract the area to the left from 1. From the Z-table, the area to the left of -0.49 is approximately 0.3156. So, the area to the right of -0.49 is approximately 1 - 0.3156 = 0.6844.

Therefore, the area under the standard normal curve to the left of z = -1.34 and to the right of z = -0.49 is approximately 0.0901 + 0.6844 = 0.7745.

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