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)
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.
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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.
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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.
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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.
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