6. Normal Distribution & Continuous Random Variables
Standard Normal Distribution
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Find the z-score such that (Z < z).
A
0.34
B
0.75
C
0.62
D
0.66
Verified step by step guidance1
Understand that the problem is asking for a z-score corresponding to a cumulative probability of 0.6331.
Recall that the z-score is a measure of how many standard deviations an element is from the mean in a standard normal distribution.
Use a standard normal distribution table (z-table) or a statistical software to find the z-score that corresponds to a cumulative probability of 0.6331.
Look up the value 0.6331 in the body of the z-table to find the closest probability, and then identify the corresponding z-score from the margins of the table.
Verify the z-score by checking if the cumulative probability for the found z-score matches 0.6331 using the z-table or software.
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