Practice Between Two Values (5.2) - Normal Distribution - IB 10 Mathematics

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10 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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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 120 if μ = 100 and σ = 15?
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Use the formula Z = (X - μ) / σ.
Question 2.
What does it mean if P(X < a) = 0.85?
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Think about what a cumulative probability indicates.
3Question 3.
What does the Z-score tell you?
- The position of a value in a distribution
- The mean of a distribution
- The probability of a value
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Think of Z-scores as a way to standardize values.
4Question 4.
True or False: The area under the normal distribution curve totals 2.
- True
- False
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Recall the properties of probability distributions.
Question 5.
A normal distribution of weights has μ = 150 lbs and σ = 25 lbs. Calculate the probability that a randomly selected individual weighs between 140 and 160 lbs.
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Find Z-scores first.
Question 6.
In a normally distributed data set, you want to find what score corresponds to the 95th percentile where μ=70 and σ=10.
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Use the Z-table to find the corresponding z value first.

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