Asked by Fahad Hashmi on May 13, 2024

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z is a standard normal random variable.What is the value of z if the area to the right of z is 0.7444?

A) -0.66
B) 0.66
C) -1.66
D) 1.66

Standard Normal Random Variable

A normal distribution with a mean of zero and a standard deviation of one, used in z-score calculations.

Area

The size or dimensions of a land area or surface.

z

Represents the standard score, indicating how many standard deviations an element is from the mean.

  • Estimate probabilities and values connected to the standard normal distribution.
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R•
Redha • 3.4m views • 10 years agoMay 15, 2024
Final Answer :
A
Explanation :
The area to the right of z is 0.7444, which means the area to the left is 1 - 0.7444 = 0.2556. Looking up this value in the standard normal distribution table or using a calculator for the inverse normal distribution function gives a z-score of approximately -0.66.