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Find the area of the standard normal distribution that lies to the right of Z = 1.62.

Question

Find the area of the standard normal distribution that lies to the right of Z = 1.62.

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Solution

To find the area of the standard normal distribution that lies to the right of Z = 1.62, you need to use the Z-table or standard normal distribution table.

  1. Look up the value of 1.62 in the Z-table. The value you find is the area to the left of Z = 1.62.

  2. The Z-table tells you the area to the left of the Z-score. But you want the area to the right of Z = 1.62.

  3. Since the total area under the curve is 1, subtract the area to the left of Z = 1.62 from 1 to find the area to the right.

So, if the value you found in the Z-table for 1.62 is 0.9474, then the area to the right of Z = 1.62 is 1 - 0.9474 = 0.0526.

So, approximately 5.26% of the area under the standard normal curve lies to the right of Z = 1.62.

This problem has been solved

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