Let the random variable Z follow a standard normal distribution,and let z₁be a possible value of Z that is representing the 90th percentile of the standard normal distribution.Find the value of z_1. A)0.67 B)-1.28 C)1.28 D)-0.67

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Quizplus · Accepted Answer

By definition, the 90th percentile of a standard normal distribution means that 90% of the area under the curve lies below the corresponding z-value. Using a standard normal probability table or calculator, we can find that the z-value corresponding to a cumulative area of 0.9 is 1.28. Therefore, the value of z corresponding to the 90th percentile is 1.28.

Let the Random Variable Z Follow a Standard Normal Distribution,and