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Course: Statistics — Third Secondary
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Quiz

The Normal Distribution and Its Applications — Lesson quiz

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1.
What are the mean and the standard deviation of the standard normal variable Z?
Mean 1 and standard deviation 0
Mean 0 and standard deviation 1
Mean 1 and standard deviation 1
Mean 0 and standard deviation 0
2.
If P(0 ≤ Z ≤ 1) = 0.3413, find P(Z ≥ 1).
0.8413
0.1587
0.6826
0.3413
3.
If P(0 ≤ Z ≤ 1) = 0.3413, find P(−1 ≤ Z ≤ 1).
0.3413
0.9544
0.1587
0.6826
4.
If X ~ N(40, 5²), what is the Z-value corresponding to X = 50?
0.5
10
2
1
5.
If X ~ N(40, 5²), find P(X ≤ 47.5), using the table value P(0 ≤ Z ≤ 1.5) = 0.4332.
0.0668
0.9332
0.5
0.9772
6.
If X ~ N(40, 5²) and P(X ≤ a) = 0.9772, what is a?
40
45
50
60
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