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For X∼N(μ,σ2)X\sim N(\mu,\sigma^2)X∼N(μ,σ2), how is the standard deviation found from the second parameter?

A

Take its positive square root: σ=σ2\sigma=\sqrt{\sigma^2}σ=σ2​.

B

After standardisation, the two inflection points are at z=−1z=-1z=−1 and z=1z=1z=1.

C

It is concave up.

D

Inflection points at x=18x=18x=18 and x=30x=30x=30 give variance 36\boxed{36}36​.

Card 1 of 20

2.4.11 Symmetry and inflection of Normal curve (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /2.4.11 Symmetry and inflection of Normal curve (A-level only)

20 flashcards on OCR (MEI) A Level Maths 2.4.11 Symmetry and inflection of Normal curve (A-level only): the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03.

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