Question

1. Consider the following statements concerning the normal distribution.

   (i) The normal distribution is symmetric and unimodal.
   (ii) The normal distribution is useful for approximating some discrete distributions.
   (iii) Only knowledge of the mean and variance is required to completely specify a normal distribution.

   	A.	Only (i) and (ii) are true.
   	B.	All of (i), (ii) and (iii) are true.
   	C.	Only (i) is true.
   	D.	Only (i) and (iii) are true.

Answer 1

Answer: B) All three are true.

Option i) is correct because the shape of the normal distribution is symmetric and unimodal. It is called the bell-shaped or Gaussian distribution after its inventor

Option ii) is correct. It is often used to approximate discrete distributions.

Options iii) is correct. There are actually many different normal distributions. To fix a particular normal, we must specify the mean and variance.

I have mentioned the reference/source below. Please refer to it if there's any doubt

Columbia Business School: The Normal Distribution

https://www0.gsb.columbia.edu/faculty/pglasserman/B6014/NormalDistribution.pdf

Thank You!