Question

Let X be normal with mean μ and standard deviation σ.

a) The cumulative distribution satisfies F(σ) = 50%

b) X is bimodal with modes as μ- σ and μ+σ

c) F(μ-σ) = 1-F(μ+σ)

d) Z = (X-μ)/σ is the standard unit normal.

e) If a<c<b, the (F(b)-F(a))>(F(c)-F(a))

Answer 1

. The corresponding z-value is calculated using Central Limit Theorem

d) Z = (X-μ)/σ is the standard unit normal.

This is the correct answer