Asked by Naderay Atefi on May 11, 2024

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Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.9634?

A) 1.79
B) -1.79
C) 0.79
D) -0.79

Standard Normal

A normal distribution with a mean of zero and a standard deviation of one, widely used in statistical analysis.

Random Variable

A variable whose numerical values stem from unpredictable phenomena.

  • Compute and elucidate z-scores within the framework of the standard normal distribution.
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Verified Answer

ER
Eehan RochaMay 16, 2024
Final Answer :
B
Explanation :
The area to the right of z being 0.9634 means the area to the left is 1 - 0.9634 = 0.0366. Looking up 0.0366 in the standard normal distribution table or using a calculator gives a z-value of approximately -1.79.