Write down the area properties of a normal distribution.

1.	Write down the area properties of a normal distribution.
Answer» (a) The total are under the normal curve is unity. (b) p [µ – σ < x< µ + σ] = 0.6826. (c) p [ µ – 2σ < x < µ + 2σ] = 0.9544. (d) p [µ – 3σ < x < µ + 3σ] = 0.9974.

Answer»

(a) The total are under the normal curve is unity.

(b) p [µ – σ < x< µ + σ]

= 0.6826.

= 0.9544.

(d) p [µ – 3σ < x < µ + 3σ]

= 0.9974.

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