Question 1180804


Let {{{X}}} be the random variable representing the result of the die roll. Recall that a die roll has the following outcomes: 
{{{1}}}   {{{2}}}   {{{ 3 }}}   {{{4}}}    {{{5}}}   {{{6}}}

Since the die is fair, each of these outcomes has a probability of {{{1/6}}}. 

The expected value is then the sum 

{{{E[X]=1(1/6)+2(1/6)+3(1/6)+4(1/6)+5(1/6)+6(1/6)}}}

{{{E[X]=1/6+1/3+1/2+2/3+5/6+1}}}

{{{E[X]=7/2}}}

{{{E[X]=3.5}}}


answer: c. {{{3.5}}}