Practice Standard Normal Distribution (20.3) - Normal Distribution - Mathematics - iii (Differential Calculus)

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10 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the Z-score for a value of 50 with a mean of 50 and a standard deviation of 10?
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Think about how many standard deviations away it is from the mean.
Question 2.
If X = 60, μ = 50, and σ = 5, what is the Z-score?
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Subtract the mean and then divide by the standard deviation.
3Question 3.
What is the mean of the Standard Normal Distribution?
- 0
- 1
- Any real number
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Remember, all values are standardized!
4Question 4.
True or False: The standard deviation of the Standard Normal Distribution is 1.
- True
- False
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Think about the standardization process!
Question 5.
A distribution has μ = 100 and σ = 15. Calculate the Z-score for a value of 130 and the associated probability.
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Start with the Z-score formula, then use the table to find the area.
Question 6.
In a sample of test scores with μ = 50 and σ = 5, what is the probability that a score is lower than 48?
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Know how to interpret the negative Z-scores in the table.

6 more questions in this section. Enroll free to practise them all.