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Find the area under the standard normal curve that lies between the following: Z = 1.15 and Z = 2.51.

Question

Find the area under the standard normal curve that lies between the following:

Z = 1.15 and Z = 2.51.

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Solution

To find the area under the standard normal curve between Z = 1.15 and Z = 2.51, you need to use the Z-table or standard normal distribution table.

  1. Look up the values in the Z-table for Z = 1.15 and Z = 2.51. The Z-table gives you the area to the left of these Z-scores.

  2. The value for Z = 1.15 is approximately 0.8749 and for Z = 2.51 is approximately 0.9940.

  3. Subtract the value for Z = 1.15 from the value for Z = 2.51 to find the area between these two Z-scores.

So, 0.9940 - 0.8749 = 0.1191.

Therefore, the area under the standard normal curve that lies between Z = 1.15 and Z = 2.51 is approximately 0.1191 or 11.91%.

This problem has been solved

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