Standard Normal Distribution (AQA A-Level Mathematics): Quizzes

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Standard Normal Distribution
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What does the inverse normal distribution function give us?

The boundary for a given probability

In calculator use, what does 'area' refer to?

Area to the left of a boundary

For X∼N(25,4)X \sim N(25, 4), if P(X>b)=0.42P(X > b) = 0.42, what area do you input in the calculator?

0.580.58

What is a z-value in a normal distribution?

No. of standard deviations from mean

What is the formula for calculating a z-value?

z=X−μσz = \frac{X - \mu}{\sigma}

The 10th percentile corresponds to what area in inverse normal?

0.10.1

How do you calculate the interpercentile range?

Upper percentile minus lower

Why does median equal mean in a normal distribution?

Distribution is symmetrical

To find unknown μ\mu or σ\sigma, what is Step 2 after calculating z algebraically?

Find z using inverse normal for N(0,1)N(0,1)

For P(24<X<c)=0.62P(24 < X < c) = 0.62, what must you find first?

P(X≤24)P(X \leq 24)

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