6. Normal Distribution and Continuous Random Variables
Standard Normal Distribution
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Find the area under the standard normal distribution to the right of a z-score of .
A
0.3300
B
0.6700
C
0.6654
D
0.3346
Verified step by step guidance1
Understand that the problem requires finding the area under the standard normal distribution curve to the right of a given z-score, which is -0.44.
Recall that the standard normal distribution is symmetric around a mean of 0 with a standard deviation of 1. The total area under the curve is 1.
Use a standard normal distribution table (z-table) or a calculator to find the cumulative probability for the z-score of -0.44. This gives the area to the left of the z-score.
Subtract the cumulative probability found in the previous step from 1 to find the area to the right of the z-score. This is because the total area under the curve is 1, and the area to the right is the complement of the area to the left.
Verify your result by checking the options provided and ensuring that the calculated area to the right of the z-score matches one of the given choices.
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