Normal Distribution - Calculations (AQA A-Level Mathematics): Flashcards

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Normal Distribution - Calculations
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P(X≥μ)P(X \geq \mu) for normal distribution

0.50.5

Why P(X≥k)≡P(X>k)P(X \geq k) \equiv P(X > k) in normal distribution

Area of infinitely thin strip at x=kx = k is 00

Median vs mean in normal distribution

Median = mean (due to symmetry)

Input σ\sigma or σ2\sigma^2 for Normal CD?

σ\sigma (standard deviation, not variance)

Calculator function for normal probabilities

Normal CD (cumulative distribution)

Bounds for P(X>k)P(X > k) in Normal CD

Lower: kk, Upper: 999999999999

Bounds for P(X<k)P(X < k) in Normal CD

Lower: −999999-999999, Upper: kk

Bounds for P(a≤X≤b)P(a \leq X \leq b) in Normal CD

Lower: aa, Upper: bb

Alternative interpretation of normal probability

Proportion or percentage of population

Combining normal & binomial in sampling

Use normal probability as pp in B(n,p)B(n, p)

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