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Determine the area under the standard normal curve that lies between -1.98 to +0.26 (z value).Group of answer choices0.578720.397430.421280.023852

Question

Determine the area under the standard normal curve that lies between -1.98 to +0.26 (z value).

Group of answer choices

  • 0.5787
  • 0.3974
  • 0.4212
  • 0.0238
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Solution

To find the area under the standard normal curve between two z-values, you need to find the z-scores for each value and subtract them.

  1. Look up the z-scores in a standard normal distribution table or use a calculator with a normal distribution function.

  2. The z-score for -1.98 is 0.02385 (this is the area to the left of -1.98).

  3. The z-score for 0.26 is 0.6026 (this is the area to the left of 0.26).

  4. Subtract the z-score of -1.98 from the z-score of 0.26 to find the area between these two values.

    0.6026 - 0.02385 = 0.57875

So, the area under the standard normal curve that lies between -1.98 and +0.26 is approximately 0.57875. The closest answer choice to this value is 0.57872.

This problem has been solved

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ind the area of the standard normal distribution that lies to the left of Z = −1.50.

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