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Find the indicated probability for the standard normal Z: P(Z > 0.82)

Question

Find the indicated probability for the standard normal Z: P(Z > 0.82)

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Solution

To find the probability that Z is greater than 0.82, we need to use the standard normal distribution table or a Z-score calculator.

  1. First, look up the Z-score of 0.82 in the standard normal distribution table. The value you find is the probability that Z is less than 0.82.

  2. Since the total probability under the curve of the standard normal distribution is 1, the probability that Z is greater than 0.82 is 1 minus the probability that Z is less than 0.82.

  3. So, if the table gives you a probability of 0.7939 for Z < 0.82, then the probability that Z > 0.82 is 1 - 0.7939 = 0.2061.

So, P(Z > 0.82) = 0.2061.

This problem has been solved

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