Normal probability distribution
Quiz
•
Mathematics
•
1st Grade
•
Practice Problem
•
Hard
Norhana Tihany
Used 4+ times
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5 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Annual salaries for a large company are approximately normally distributed with mean of RM50,000 and standard deviation of RM20,000. What percentage of company workers has a salary less than RM40,000?
32.03%
34.00%
30.85%
31.25%
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The amount of time a student taking statistics spends on studying for a test is normally distributed. If the average time spent studying is 12 hours and standard deviation is 4 hours, what is the probability that a student will spent more than 8 hours studying?
0.8413
0.8013
0.8223
0.8333
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Suppose that the height (X) in inches, of a 25-year-old man is a normal random variable with mean, μ= 70 inches. If P(X >79) = 0.025 what is the standard deviation of this random normal variable?
4.59
4.23
3.57
4.28
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the z-score that has 2.68% of the distribution’s area to its right.
z = 0.9963
z = –1.93
z = –0.0037
z = 1.93
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Use a correction for continuity to convert the following interval to a normal distribution interval.
The probability of getting at least 80 successes
x > 80.5
x > 79.5
x < 80.5
x < 79.5
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