What probability expression is equivalent to P( / z / > 1.96)?

The probability of the expression being equivalent to P(z > 1.96) is calculated as 0.0250.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The given information is P(z > 1.96)

Let z is a standard normal variable. Then we have

P(z > 1.96) = 1 – P(z ≤ 1.96)

P(z > 1.96) = 1 – 0.9750

P(z > 1.96) = 0.0250

More about the z-score link is given below.

link

Please check the explanation.

Step-by-step explanation:

Given

P(Z > 1.96)

To determine

What probability expression is equivalent to P(Z > 1.96)

Suppose Z is a standard normal variable.

Therefore,

P(Z > 1.96) = 1 - P(Z ≤ 1.96)

solving

                 = 1 - Ф(1.96)

                 = 1 - 0.9750

                 = 0.0250

boxplot e is the answer

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