**Exercise 1**

** **

Show that the variance can be written in the following form:

ð‘‰ð‘Žð‘Ÿ (ð‘‹)=ð¸[ð‘‹2]−[ð¸ð‘‹])2

You may use the following:

ð‘Ž±ð‘2=ð‘Ž2+ð‘2±2ð‘Žð‘

**Exercise A**

** **

Let ð‘‹ be a discrete random variable with support ð‘…ð‘‹={0,1,2,3} and described by function ð‘ð‘‹ð‘¥=16;ð‘¥∈ð‘…ð‘‹

Compute its variance.

** **

**Exercise B1**

** **

Let ð‘‹ be a discrete random variable with support ð‘…ð‘‹={0,1,2,3,4} and probability mass function:

ð‘ð‘‹ð‘¥= ð‘¥10ð‘–ð‘“ð‘¥∈ð‘…ð‘‹0ð‘œð‘¡â„Žð‘’ð‘Ÿð‘¤ð‘–ð‘ ð‘’

Compute its variance.

Subject | Mathematics |

Due By (Pacific Time) | 04/05/2015 10:05 pm |

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